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Finding the Fourth Proportional to 5,138.34, 7,707.53 and 1,242.74

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Solution

The fourth proportional to 5,138.34, 7,707.53 and 1,242.74 is: 1,864.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.34 : 7,707.53 = 1,242.74 : x
  2. Step 2: Convert to fraction form
    5,138.34/7,707.53 = 1,242.74/x
  3. Step 3: Cross multiply
    5,138.34x = 7,707.53 × 1,242.74
  4. Step 4: Simplify right side
    5,138.34x = 9,578,455.83
  5. Step 5: Solve for x
    x = 9,578,455.83/5,138.34
  6. Step 6: Final answer
    x = 1,864.11

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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.