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Finding the Fourth Proportional to 3,588.71, 4,952.54 and 2,077.04

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Solution

The fourth proportional to 3,588.71, 4,952.54 and 2,077.04 is: 2,866.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.71 : 4,952.54 = 2,077.04 : x
  2. Step 2: Convert to fraction form
    3,588.71/4,952.54 = 2,077.04/x
  3. Step 3: Cross multiply
    3,588.71x = 4,952.54 × 2,077.04
  4. Step 4: Simplify right side
    3,588.71x = 10,286,641.26
  5. Step 5: Solve for x
    x = 10,286,641.26/3,588.71
  6. Step 6: Final answer
    x = 2,866.39

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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.