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Finding the Fourth Proportional to 5,038.69, 7,524.08 and 4,116.07

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Solution

The fourth proportional to 5,038.69, 7,524.08 and 4,116.07 is: 6,146.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,038.69 : 7,524.08 = 4,116.07 : x
  2. Step 2: Convert to fraction form
    5,038.69/7,524.08 = 4,116.07/x
  3. Step 3: Cross multiply
    5,038.69x = 7,524.08 × 4,116.07
  4. Step 4: Simplify right side
    5,038.69x = 30,969,639.97
  5. Step 5: Solve for x
    x = 30,969,639.97/5,038.69
  6. Step 6: Final answer
    x = 6,146.37

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