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Finding the Fourth Proportional to 4,688.58, 6,470.16 and 2,592.69

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Solution

The fourth proportional to 4,688.58, 6,470.16 and 2,592.69 is: 3,577.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,688.58 : 6,470.16 = 2,592.69 : x
  2. Step 2: Convert to fraction form
    4,688.58/6,470.16 = 2,592.69/x
  3. Step 3: Cross multiply
    4,688.58x = 6,470.16 × 2,592.69
  4. Step 4: Simplify right side
    4,688.58x = 16,775,119.13
  5. Step 5: Solve for x
    x = 16,775,119.13/4,688.58
  6. Step 6: Final answer
    x = 3,577.87

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