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Finding the Fourth Proportional to 4,003.56, 6,000.75 and 1,537.11

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Solution

The fourth proportional to 4,003.56, 6,000.75 and 1,537.11 is: 2,303.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,003.56 : 6,000.75 = 1,537.11 : x
  2. Step 2: Convert to fraction form
    4,003.56/6,000.75 = 1,537.11/x
  3. Step 3: Cross multiply
    4,003.56x = 6,000.75 × 1,537.11
  4. Step 4: Simplify right side
    4,003.56x = 9,223,812.83
  5. Step 5: Solve for x
    x = 9,223,812.83/4,003.56
  6. Step 6: Final answer
    x = 2,303.90

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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.