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Finding the Fourth Proportional to 5,165.72, 7,124.72 and 3,484.46

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Solution

The fourth proportional to 5,165.72, 7,124.72 and 3,484.46 is: 4,805.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.72 : 7,124.72 = 3,484.46 : x
  2. Step 2: Convert to fraction form
    5,165.72/7,124.72 = 3,484.46/x
  3. Step 3: Cross multiply
    5,165.72x = 7,124.72 × 3,484.46
  4. Step 4: Simplify right side
    5,165.72x = 24,825,748.81
  5. Step 5: Solve for x
    x = 24,825,748.81/5,165.72
  6. Step 6: Final answer
    x = 4,805.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.