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Finding the Fourth Proportional to 5,053.47, 7,580.24 and 1,766.55

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Solution

The fourth proportional to 5,053.47, 7,580.24 and 1,766.55 is: 2,649.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,053.47 : 7,580.24 = 1,766.55 : x
  2. Step 2: Convert to fraction form
    5,053.47/7,580.24 = 1,766.55/x
  3. Step 3: Cross multiply
    5,053.47x = 7,580.24 × 1,766.55
  4. Step 4: Simplify right side
    5,053.47x = 13,390,864.14
  5. Step 5: Solve for x
    x = 13,390,864.14/5,053.47
  6. Step 6: Final answer
    x = 2,649.84

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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.