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Finding the Fourth Proportional to 4,387.72, 6,581.60 and 1,466

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Solution

The fourth proportional to 4,387.72, 6,581.60 and 1,466 is: 2,199.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,387.72 : 6,581.60 = 1,466 : x
  2. Step 2: Convert to fraction form
    4,387.72/6,581.60 = 1,466/x
  3. Step 3: Cross multiply
    4,387.72x = 6,581.60 × 1,466
  4. Step 4: Simplify right side
    4,387.72x = 9,648,625.60
  5. Step 5: Solve for x
    x = 9,648,625.60/4,387.72
  6. Step 6: Final answer
    x = 2,199.01

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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.