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Finding the Fourth Proportional to 4,644.52, 6,412.44 and 2,878

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Solution

The fourth proportional to 4,644.52, 6,412.44 and 2,878 is: 3,973.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.52 : 6,412.44 = 2,878 : x
  2. Step 2: Convert to fraction form
    4,644.52/6,412.44 = 2,878/x
  3. Step 3: Cross multiply
    4,644.52x = 6,412.44 × 2,878
  4. Step 4: Simplify right side
    4,644.52x = 18,455,002.32
  5. Step 5: Solve for x
    x = 18,455,002.32/4,644.52
  6. Step 6: Final answer
    x = 3,973.50

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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.