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Finding the Fourth Proportional to 4,713.06, 6,497.07 and 3,592.05

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Solution

The fourth proportional to 4,713.06, 6,497.07 and 3,592.05 is: 4,951.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.06 : 6,497.07 = 3,592.05 : x
  2. Step 2: Convert to fraction form
    4,713.06/6,497.07 = 3,592.05/x
  3. Step 3: Cross multiply
    4,713.06x = 6,497.07 × 3,592.05
  4. Step 4: Simplify right side
    4,713.06x = 23,337,800.29
  5. Step 5: Solve for x
    x = 23,337,800.29/4,713.06
  6. Step 6: Final answer
    x = 4,951.73

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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.