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Finding the Fourth Proportional to 4,466, 6,699 and 1,543.52

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Solution

The fourth proportional to 4,466, 6,699 and 1,543.52 is: 2,315.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,466 : 6,699 = 1,543.52 : x
  2. Step 2: Convert to fraction form
    4,466/6,699 = 1,543.52/x
  3. Step 3: Cross multiply
    4,466x = 6,699 × 1,543.52
  4. Step 4: Simplify right side
    4,466x = 10,340,040.48
  5. Step 5: Solve for x
    x = 10,340,040.48/4,466
  6. Step 6: Final answer
    x = 2,315.28

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Why These Related Problems?

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