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Finding the Fourth Proportional to 5,290, 7,918.24 and 3,722.74

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Solution

The fourth proportional to 5,290, 7,918.24 and 3,722.74 is: 5,572.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,290 : 7,918.24 = 3,722.74 : x
  2. Step 2: Convert to fraction form
    5,290/7,918.24 = 3,722.74/x
  3. Step 3: Cross multiply
    5,290x = 7,918.24 × 3,722.74
  4. Step 4: Simplify right side
    5,290x = 29,477,548.78
  5. Step 5: Solve for x
    x = 29,477,548.78/5,290
  6. Step 6: Final answer
    x = 5,572.32

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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.