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Finding the Fourth Proportional to 5,643.61, 8,466 and 2,354.86

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Solution

The fourth proportional to 5,643.61, 8,466 and 2,354.86 is: 3,532.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.61 : 8,466 = 2,354.86 : x
  2. Step 2: Convert to fraction form
    5,643.61/8,466 = 2,354.86/x
  3. Step 3: Cross multiply
    5,643.61x = 8,466 × 2,354.86
  4. Step 4: Simplify right side
    5,643.61x = 19,936,244.76
  5. Step 5: Solve for x
    x = 19,936,244.76/5,643.61
  6. Step 6: Final answer
    x = 3,532.53

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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.