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Finding the Fourth Proportional to 4,117.42, 6,176.14 and 997.43

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Solution

The fourth proportional to 4,117.42, 6,176.14 and 997.43 is: 1,496.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,117.42 : 6,176.14 = 997.43 : x
  2. Step 2: Convert to fraction form
    4,117.42/6,176.14 = 997.43/x
  3. Step 3: Cross multiply
    4,117.42x = 6,176.14 × 997.43
  4. Step 4: Simplify right side
    4,117.42x = 6,160,267.28
  5. Step 5: Solve for x
    x = 6,160,267.28/4,117.42
  6. Step 6: Final answer
    x = 1,496.15

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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.