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Finding the Fourth Proportional to 3,476.52, 4,785.54 and 3,004.20

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Solution

The fourth proportional to 3,476.52, 4,785.54 and 3,004.20 is: 4,135.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.52 : 4,785.54 = 3,004.20 : x
  2. Step 2: Convert to fraction form
    3,476.52/4,785.54 = 3,004.20/x
  3. Step 3: Cross multiply
    3,476.52x = 4,785.54 × 3,004.20
  4. Step 4: Simplify right side
    3,476.52x = 14,376,719.27
  5. Step 5: Solve for x
    x = 14,376,719.27/3,476.52
  6. Step 6: Final answer
    x = 4,135.38

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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.