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Finding the Fourth Proportional to 5,038.70, 7,524.08 and 4,116.08

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Solution

The fourth proportional to 5,038.70, 7,524.08 and 4,116.08 is: 6,146.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,038.70 : 7,524.08 = 4,116.08 : x
  2. Step 2: Convert to fraction form
    5,038.70/7,524.08 = 4,116.08/x
  3. Step 3: Cross multiply
    5,038.70x = 7,524.08 × 4,116.08
  4. Step 4: Simplify right side
    5,038.70x = 30,969,715.21
  5. Step 5: Solve for x
    x = 30,969,715.21/5,038.70
  6. Step 6: Final answer
    x = 6,146.37

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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.