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Finding the Fourth Proportional to 3,585.80, 5,376.54 and 3,038.24

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Solution

The fourth proportional to 3,585.80, 5,376.54 and 3,038.24 is: 4,555.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.80 : 5,376.54 = 3,038.24 : x
  2. Step 2: Convert to fraction form
    3,585.80/5,376.54 = 3,038.24/x
  3. Step 3: Cross multiply
    3,585.80x = 5,376.54 × 3,038.24
  4. Step 4: Simplify right side
    3,585.80x = 16,335,218.89
  5. Step 5: Solve for x
    x = 16,335,218.89/3,585.80
  6. Step 6: Final answer
    x = 4,555.53

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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.