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Finding the Fourth Proportional to 5,189.41, 7,747.16 and 5,007.16

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Solution

The fourth proportional to 5,189.41, 7,747.16 and 5,007.16 is: 7,475.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.41 : 7,747.16 = 5,007.16 : x
  2. Step 2: Convert to fraction form
    5,189.41/7,747.16 = 5,007.16/x
  3. Step 3: Cross multiply
    5,189.41x = 7,747.16 × 5,007.16
  4. Step 4: Simplify right side
    5,189.41x = 38,791,269.67
  5. Step 5: Solve for x
    x = 38,791,269.67/5,189.41
  6. Step 6: Final answer
    x = 7,475.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.