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Finding the Fourth Proportional to 5,641.19, 8,458.70 and 4,478.66

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Solution

The fourth proportional to 5,641.19, 8,458.70 and 4,478.66 is: 6,715.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.19 : 8,458.70 = 4,478.66 : x
  2. Step 2: Convert to fraction form
    5,641.19/8,458.70 = 4,478.66/x
  3. Step 3: Cross multiply
    5,641.19x = 8,458.70 × 4,478.66
  4. Step 4: Simplify right side
    5,641.19x = 37,883,608.38
  5. Step 5: Solve for x
    x = 37,883,608.38/5,641.19
  6. Step 6: Final answer
    x = 6,715.53

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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.