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Finding the Fourth Proportional to 4,569.88, 6,300.56 and 3,729.74

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Solution

The fourth proportional to 4,569.88, 6,300.56 and 3,729.74 is: 5,142.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,569.88 : 6,300.56 = 3,729.74 : x
  2. Step 2: Convert to fraction form
    4,569.88/6,300.56 = 3,729.74/x
  3. Step 3: Cross multiply
    4,569.88x = 6,300.56 × 3,729.74
  4. Step 4: Simplify right side
    4,569.88x = 23,499,450.65
  5. Step 5: Solve for x
    x = 23,499,450.65/4,569.88
  6. Step 6: Final answer
    x = 5,142.25

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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.