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Finding the Fourth Proportional to 4,070.39, 6,105.60 and 992.39

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Solution

The fourth proportional to 4,070.39, 6,105.60 and 992.39 is: 1,488.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,070.39 : 6,105.60 = 992.39 : x
  2. Step 2: Convert to fraction form
    4,070.39/6,105.60 = 992.39/x
  3. Step 3: Cross multiply
    4,070.39x = 6,105.60 × 992.39
  4. Step 4: Simplify right side
    4,070.39x = 6,059,136.38
  5. Step 5: Solve for x
    x = 6,059,136.38/4,070.39
  6. Step 6: Final answer
    x = 1,488.59

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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.