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Finding the Fourth Proportional to 5,545.64, 8,278.76 and 5,140.64

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Solution

The fourth proportional to 5,545.64, 8,278.76 and 5,140.64 is: 7,674.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,545.64 : 8,278.76 = 5,140.64 : x
  2. Step 2: Convert to fraction form
    5,545.64/8,278.76 = 5,140.64/x
  3. Step 3: Cross multiply
    5,545.64x = 8,278.76 × 5,140.64
  4. Step 4: Simplify right side
    5,545.64x = 42,558,124.81
  5. Step 5: Solve for x
    x = 42,558,124.81/5,545.64
  6. Step 6: Final answer
    x = 7,674.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.