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Finding the Fourth Proportional to 3,909.47, 5,395.83 and 2,316.47

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Solution

The fourth proportional to 3,909.47, 5,395.83 and 2,316.47 is: 3,197.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.47 : 5,395.83 = 2,316.47 : x
  2. Step 2: Convert to fraction form
    3,909.47/5,395.83 = 2,316.47/x
  3. Step 3: Cross multiply
    3,909.47x = 5,395.83 × 2,316.47
  4. Step 4: Simplify right side
    3,909.47x = 12,499,278.32
  5. Step 5: Solve for x
    x = 12,499,278.32/3,909.47
  6. Step 6: Final answer
    x = 3,197.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.