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Finding the Fourth Proportional to 5,301.52, 7,952.40 and 1,838.76

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Solution

The fourth proportional to 5,301.52, 7,952.40 and 1,838.76 is: 2,758.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,301.52 : 7,952.40 = 1,838.76 : x
  2. Step 2: Convert to fraction form
    5,301.52/7,952.40 = 1,838.76/x
  3. Step 3: Cross multiply
    5,301.52x = 7,952.40 × 1,838.76
  4. Step 4: Simplify right side
    5,301.52x = 14,622,555.02
  5. Step 5: Solve for x
    x = 14,622,555.02/5,301.52
  6. Step 6: Final answer
    x = 2,758.18

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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.