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Finding the Fourth Proportional to 5,116.70, 7,669.65 and 2,920.70

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Solution

The fourth proportional to 5,116.70, 7,669.65 and 2,920.70 is: 4,377.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,116.70 : 7,669.65 = 2,920.70 : x
  2. Step 2: Convert to fraction form
    5,116.70/7,669.65 = 2,920.70/x
  3. Step 3: Cross multiply
    5,116.70x = 7,669.65 × 2,920.70
  4. Step 4: Simplify right side
    5,116.70x = 22,400,746.76
  5. Step 5: Solve for x
    x = 22,400,746.76/5,116.70
  6. Step 6: Final answer
    x = 4,377.97

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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.