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Finding the Fourth Proportional to 4,678.52, 6,459.48 and 3,565.17

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Solution

The fourth proportional to 4,678.52, 6,459.48 and 3,565.17 is: 4,922.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678.52 : 6,459.48 = 3,565.17 : x
  2. Step 2: Convert to fraction form
    4,678.52/6,459.48 = 3,565.17/x
  3. Step 3: Cross multiply
    4,678.52x = 6,459.48 × 3,565.17
  4. Step 4: Simplify right side
    4,678.52x = 23,029,144.31
  5. Step 5: Solve for x
    x = 23,029,144.31/4,678.52
  6. Step 6: Final answer
    x = 4,922.32

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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.