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Finding the Fourth Proportional to 5,638.69, 8,458.06 and 1,478.66

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Solution

The fourth proportional to 5,638.69, 8,458.06 and 1,478.66 is: 2,217.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.69 : 8,458.06 = 1,478.66 : x
  2. Step 2: Convert to fraction form
    5,638.69/8,458.06 = 1,478.66/x
  3. Step 3: Cross multiply
    5,638.69x = 8,458.06 × 1,478.66
  4. Step 4: Simplify right side
    5,638.69x = 12,506,552.71
  5. Step 5: Solve for x
    x = 12,506,552.71/5,638.69
  6. Step 6: Final answer
    x = 2,217.99

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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.