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Finding the Fourth Proportional to 4,170.74, 5,756.90 and 2,403.52

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Solution

The fourth proportional to 4,170.74, 5,756.90 and 2,403.52 is: 3,317.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,170.74 : 5,756.90 = 2,403.52 : x
  2. Step 2: Convert to fraction form
    4,170.74/5,756.90 = 2,403.52/x
  3. Step 3: Cross multiply
    4,170.74x = 5,756.90 × 2,403.52
  4. Step 4: Simplify right side
    4,170.74x = 13,836,824.29
  5. Step 5: Solve for x
    x = 13,836,824.29/4,170.74
  6. Step 6: Final answer
    x = 3,317.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.