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Finding the Fourth Proportional to 5,256.09, 7,853.63 and 3,981.15

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Solution

The fourth proportional to 5,256.09, 7,853.63 and 3,981.15 is: 5,948.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,256.09 : 7,853.63 = 3,981.15 : x
  2. Step 2: Convert to fraction form
    5,256.09/7,853.63 = 3,981.15/x
  3. Step 3: Cross multiply
    5,256.09x = 7,853.63 × 3,981.15
  4. Step 4: Simplify right side
    5,256.09x = 31,266,459.17
  5. Step 5: Solve for x
    x = 31,266,459.17/5,256.09
  6. Step 6: Final answer
    x = 5,948.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.