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Finding the Fourth Proportional to 3,728.30, 5,590.33 and 1,534.42

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Solution

The fourth proportional to 3,728.30, 5,590.33 and 1,534.42 is: 2,300.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.30 : 5,590.33 = 1,534.42 : x
  2. Step 2: Convert to fraction form
    3,728.30/5,590.33 = 1,534.42/x
  3. Step 3: Cross multiply
    3,728.30x = 5,590.33 × 1,534.42
  4. Step 4: Simplify right side
    3,728.30x = 8,577,878.53
  5. Step 5: Solve for x
    x = 8,577,878.53/3,728.30
  6. Step 6: Final answer
    x = 2,300.75

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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.