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Finding the Fourth Proportional to 2,592.32, 3,906.72 and 2,345.86

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Solution

The fourth proportional to 2,592.32, 3,906.72 and 2,345.86 is: 3,535.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.32 : 3,906.72 = 2,345.86 : x
  2. Step 2: Convert to fraction form
    2,592.32/3,906.72 = 2,345.86/x
  3. Step 3: Cross multiply
    2,592.32x = 3,906.72 × 2,345.86
  4. Step 4: Simplify right side
    2,592.32x = 9,164,618.18
  5. Step 5: Solve for x
    x = 9,164,618.18/2,592.32
  6. Step 6: Final answer
    x = 3,535.30

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.