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Finding the Fourth Proportional to 5,617.74, 8,423.10 and 2,497.62

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Solution

The fourth proportional to 5,617.74, 8,423.10 and 2,497.62 is: 3,744.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,617.74 : 8,423.10 = 2,497.62 : x
  2. Step 2: Convert to fraction form
    5,617.74/8,423.10 = 2,497.62/x
  3. Step 3: Cross multiply
    5,617.74x = 8,423.10 × 2,497.62
  4. Step 4: Simplify right side
    5,617.74x = 21,037,703.02
  5. Step 5: Solve for x
    x = 21,037,703.02/5,617.74
  6. Step 6: Final answer
    x = 3,744.87

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1.5x scale

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.