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Finding the Fourth Proportional to 4,223.76, 5,830.56 and 3,113.52

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Solution

The fourth proportional to 4,223.76, 5,830.56 and 3,113.52 is: 4,297.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,223.76 : 5,830.56 = 3,113.52 : x
  2. Step 2: Convert to fraction form
    4,223.76/5,830.56 = 3,113.52/x
  3. Step 3: Cross multiply
    4,223.76x = 5,830.56 × 3,113.52
  4. Step 4: Simplify right side
    4,223.76x = 18,153,565.17
  5. Step 5: Solve for x
    x = 18,153,565.17/4,223.76
  6. Step 6: Final answer
    x = 4,297.96

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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.