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Finding the Fourth Proportional to 5,126.70, 7,684.65 and 2,930.70

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Solution

The fourth proportional to 5,126.70, 7,684.65 and 2,930.70 is: 4,392.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,126.70 : 7,684.65 = 2,930.70 : x
  2. Step 2: Convert to fraction form
    5,126.70/7,684.65 = 2,930.70/x
  3. Step 3: Cross multiply
    5,126.70x = 7,684.65 × 2,930.70
  4. Step 4: Simplify right side
    5,126.70x = 22,521,403.76
  5. Step 5: Solve for x
    x = 22,521,403.76/5,126.70
  6. Step 6: Final answer
    x = 4,392.96

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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.