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Finding the Fourth Proportional to 6,154.31, 8,489.71 and 4,165.54

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Solution

The fourth proportional to 6,154.31, 8,489.71 and 4,165.54 is: 5,746.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.31 : 8,489.71 = 4,165.54 : x
  2. Step 2: Convert to fraction form
    6,154.31/8,489.71 = 4,165.54/x
  3. Step 3: Cross multiply
    6,154.31x = 8,489.71 × 4,165.54
  4. Step 4: Simplify right side
    6,154.31x = 35,364,226.59
  5. Step 5: Solve for x
    x = 35,364,226.59/6,154.31
  6. Step 6: Final answer
    x = 5,746.25

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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.