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Finding the Fourth Proportional to 5,417.47, 8,119.72 and 1,952.83

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Solution

The fourth proportional to 5,417.47, 8,119.72 and 1,952.83 is: 2,926.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,417.47 : 8,119.72 = 1,952.83 : x
  2. Step 2: Convert to fraction form
    5,417.47/8,119.72 = 1,952.83/x
  3. Step 3: Cross multiply
    5,417.47x = 8,119.72 × 1,952.83
  4. Step 4: Simplify right side
    5,417.47x = 15,856,432.81
  5. Step 5: Solve for x
    x = 15,856,432.81/5,417.47
  6. Step 6: Final answer
    x = 2,926.91

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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.