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Finding the Fourth Proportional to 3,728.10, 5,590.80 and 1,506.24

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Solution

The fourth proportional to 3,728.10, 5,590.80 and 1,506.24 is: 2,258.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.10 : 5,590.80 = 1,506.24 : x
  2. Step 2: Convert to fraction form
    3,728.10/5,590.80 = 1,506.24/x
  3. Step 3: Cross multiply
    3,728.10x = 5,590.80 × 1,506.24
  4. Step 4: Simplify right side
    3,728.10x = 8,421,086.59
  5. Step 5: Solve for x
    x = 8,421,086.59/3,728.10
  6. Step 6: Final answer
    x = 2,258.81

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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.