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Finding the Fourth Proportional to 4,641.32, 6,913.76 and 4,389.82

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Solution

The fourth proportional to 4,641.32, 6,913.76 and 4,389.82 is: 6,539.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.32 : 6,913.76 = 4,389.82 : x
  2. Step 2: Convert to fraction form
    4,641.32/6,913.76 = 4,389.82/x
  3. Step 3: Cross multiply
    4,641.32x = 6,913.76 × 4,389.82
  4. Step 4: Simplify right side
    4,641.32x = 30,350,122.69
  5. Step 5: Solve for x
    x = 30,350,122.69/4,641.32
  6. Step 6: Final answer
    x = 6,539.11

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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.