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Finding the Fourth Proportional to 4,742.87, 6,545.81 and 2,647.13

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Solution

The fourth proportional to 4,742.87, 6,545.81 and 2,647.13 is: 3,653.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,742.87 : 6,545.81 = 2,647.13 : x
  2. Step 2: Convert to fraction form
    4,742.87/6,545.81 = 2,647.13/x
  3. Step 3: Cross multiply
    4,742.87x = 6,545.81 × 2,647.13
  4. Step 4: Simplify right side
    4,742.87x = 17,327,583.91
  5. Step 5: Solve for x
    x = 17,327,583.91/4,742.87
  6. Step 6: Final answer
    x = 3,653.40

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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.