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Finding the Fourth Proportional to 3,471,801.32, 4,789,978.64 and 2,249,044.16

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Solution

The fourth proportional to 3,471,801.32, 4,789,978.64 and 2,249,044.16 is: 3,102,963.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471,801.32 : 4,789,978.64 = 2,249,044.16 : x
  2. Step 2: Convert to fraction form
    3,471,801.32/4,789,978.64 = 2,249,044.16/x
  3. Step 3: Cross multiply
    3,471,801.32x = 4,789,978.64 × 2,249,044.16
  4. Step 4: Simplify right side
    3,471,801.32x = 10,772,873,486,816.74
  5. Step 5: Solve for x
    x = 10,772,873,486,816.74/3,471,801.32
  6. Step 6: Final answer
    x = 3,102,963.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.