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Finding the Fourth Proportional to 4,642.75, 6,966.15 and 1,720.27

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Solution

The fourth proportional to 4,642.75, 6,966.15 and 1,720.27 is: 2,581.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.75 : 6,966.15 = 1,720.27 : x
  2. Step 2: Convert to fraction form
    4,642.75/6,966.15 = 1,720.27/x
  3. Step 3: Cross multiply
    4,642.75x = 6,966.15 × 1,720.27
  4. Step 4: Simplify right side
    4,642.75x = 11,983,658.86
  5. Step 5: Solve for x
    x = 11,983,658.86/4,642.75
  6. Step 6: Final answer
    x = 2,581.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.