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Finding the Fourth Proportional to 4,652.43, 6,411.51 and 4,567.05

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Solution

The fourth proportional to 4,652.43, 6,411.51 and 4,567.05 is: 6,293.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.43 : 6,411.51 = 4,567.05 : x
  2. Step 2: Convert to fraction form
    4,652.43/6,411.51 = 4,567.05/x
  3. Step 3: Cross multiply
    4,652.43x = 6,411.51 × 4,567.05
  4. Step 4: Simplify right side
    4,652.43x = 29,281,686.75
  5. Step 5: Solve for x
    x = 29,281,686.75/4,652.43
  6. Step 6: Final answer
    x = 6,293.85

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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.