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Finding the Fourth Proportional to 5,117.70, 7,676.55 and 3,708.30

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Solution

The fourth proportional to 5,117.70, 7,676.55 and 3,708.30 is: 5,562.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,117.70 : 7,676.55 = 3,708.30 : x
  2. Step 2: Convert to fraction form
    5,117.70/7,676.55 = 3,708.30/x
  3. Step 3: Cross multiply
    5,117.70x = 7,676.55 × 3,708.30
  4. Step 4: Simplify right side
    5,117.70x = 28,466,950.37
  5. Step 5: Solve for x
    x = 28,466,950.37/5,117.70
  6. Step 6: Final answer
    x = 5,562.45

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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.