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Finding the Fourth Proportional to 4,641.42, 6,405.63 and 2,652.27

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Solution

The fourth proportional to 4,641.42, 6,405.63 and 2,652.27 is: 3,660.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.42 : 6,405.63 = 2,652.27 : x
  2. Step 2: Convert to fraction form
    4,641.42/6,405.63 = 2,652.27/x
  3. Step 3: Cross multiply
    4,641.42x = 6,405.63 × 2,652.27
  4. Step 4: Simplify right side
    4,641.42x = 16,989,460.28
  5. Step 5: Solve for x
    x = 16,989,460.28/4,641.42
  6. Step 6: Final answer
    x = 3,660.40

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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.