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Finding the Fourth Proportional to 5,023, 7,532.70 and 2,390.08

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Solution

The fourth proportional to 5,023, 7,532.70 and 2,390.08 is: 3,584.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,023 : 7,532.70 = 2,390.08 : x
  2. Step 2: Convert to fraction form
    5,023/7,532.70 = 2,390.08/x
  3. Step 3: Cross multiply
    5,023x = 7,532.70 × 2,390.08
  4. Step 4: Simplify right side
    5,023x = 18,003,755.62
  5. Step 5: Solve for x
    x = 18,003,755.62/5,023
  6. Step 6: Final answer
    x = 3,584.26

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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.