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Finding the Fourth Proportional to 5,617.66, 8,424.04 and 2,984.59

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Solution

The fourth proportional to 5,617.66, 8,424.04 and 2,984.59 is: 4,475.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,617.66 : 8,424.04 = 2,984.59 : x
  2. Step 2: Convert to fraction form
    5,617.66/8,424.04 = 2,984.59/x
  3. Step 3: Cross multiply
    5,617.66x = 8,424.04 × 2,984.59
  4. Step 4: Simplify right side
    5,617.66x = 25,142,248.50
  5. Step 5: Solve for x
    x = 25,142,248.50/5,617.66
  6. Step 6: Final answer
    x = 4,475.58

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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.