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Finding the Fourth Proportional to 3,728.94, 5,594.18 and 1,537.82

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Solution

The fourth proportional to 3,728.94, 5,594.18 and 1,537.82 is: 2,307.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.94 : 5,594.18 = 1,537.82 : x
  2. Step 2: Convert to fraction form
    3,728.94/5,594.18 = 1,537.82/x
  3. Step 3: Cross multiply
    3,728.94x = 5,594.18 × 1,537.82
  4. Step 4: Simplify right side
    3,728.94x = 8,602,806.23
  5. Step 5: Solve for x
    x = 8,602,806.23/3,728.94
  6. Step 6: Final answer
    x = 2,307.04

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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.