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Finding the Fourth Proportional to 5,642.87, 8,470.35 and 4,775.97

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Solution

The fourth proportional to 5,642.87, 8,470.35 and 4,775.97 is: 7,169.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.87 : 8,470.35 = 4,775.97 : x
  2. Step 2: Convert to fraction form
    5,642.87/8,470.35 = 4,775.97/x
  3. Step 3: Cross multiply
    5,642.87x = 8,470.35 × 4,775.97
  4. Step 4: Simplify right side
    5,642.87x = 40,454,137.49
  5. Step 5: Solve for x
    x = 40,454,137.49/5,642.87
  6. Step 6: Final answer
    x = 7,169.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.