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Finding the Fourth Proportional to 4,641.74, 6,405.65 and 2,652.27

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Solution

The fourth proportional to 4,641.74, 6,405.65 and 2,652.27 is: 3,660.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.74 : 6,405.65 = 2,652.27 : x
  2. Step 2: Convert to fraction form
    4,641.74/6,405.65 = 2,652.27/x
  3. Step 3: Cross multiply
    4,641.74x = 6,405.65 × 2,652.27
  4. Step 4: Simplify right side
    4,641.74x = 16,989,513.33
  5. Step 5: Solve for x
    x = 16,989,513.33/4,641.74
  6. Step 6: Final answer
    x = 3,660.16

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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.