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Finding the Fourth Proportional to 5,138.57, 7,707.78 and 1,242.95

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Solution

The fourth proportional to 5,138.57, 7,707.78 and 1,242.95 is: 1,864.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.57 : 7,707.78 = 1,242.95 : x
  2. Step 2: Convert to fraction form
    5,138.57/7,707.78 = 1,242.95/x
  3. Step 3: Cross multiply
    5,138.57x = 7,707.78 × 1,242.95
  4. Step 4: Simplify right side
    5,138.57x = 9,580,346.61
  5. Step 5: Solve for x
    x = 9,580,346.61/5,138.57
  6. Step 6: Final answer
    x = 1,864.40

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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.