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Finding the Fourth Proportional to 4,710.78, 6,500.85 and 2,586.35

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Solution

The fourth proportional to 4,710.78, 6,500.85 and 2,586.35 is: 3,569.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,710.78 : 6,500.85 = 2,586.35 : x
  2. Step 2: Convert to fraction form
    4,710.78/6,500.85 = 2,586.35/x
  3. Step 3: Cross multiply
    4,710.78x = 6,500.85 × 2,586.35
  4. Step 4: Simplify right side
    4,710.78x = 16,813,470.12
  5. Step 5: Solve for x
    x = 16,813,470.12/4,710.78
  6. Step 6: Final answer
    x = 3,569.15

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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.