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Finding the Fourth Proportional to 4,046.47, 6,069 and 1,124.08

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Solution

The fourth proportional to 4,046.47, 6,069 and 1,124.08 is: 1,685.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,046.47 : 6,069 = 1,124.08 : x
  2. Step 2: Convert to fraction form
    4,046.47/6,069 = 1,124.08/x
  3. Step 3: Cross multiply
    4,046.47x = 6,069 × 1,124.08
  4. Step 4: Simplify right side
    4,046.47x = 6,822,041.52
  5. Step 5: Solve for x
    x = 6,822,041.52/4,046.47
  6. Step 6: Final answer
    x = 1,685.92

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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.