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Finding the Fourth Proportional to 4,688.82, 6,470.50 and 2,564.36

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Solution

The fourth proportional to 4,688.82, 6,470.50 and 2,564.36 is: 3,538.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,688.82 : 6,470.50 = 2,564.36 : x
  2. Step 2: Convert to fraction form
    4,688.82/6,470.50 = 2,564.36/x
  3. Step 3: Cross multiply
    4,688.82x = 6,470.50 × 2,564.36
  4. Step 4: Simplify right side
    4,688.82x = 16,592,691.38
  5. Step 5: Solve for x
    x = 16,592,691.38/4,688.82
  6. Step 6: Final answer
    x = 3,538.78

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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.