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Finding the Fourth Proportional to 4,015.68, 6,024.54 and 1,549.83

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Solution

The fourth proportional to 4,015.68, 6,024.54 and 1,549.83 is: 2,325.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,015.68 : 6,024.54 = 1,549.83 : x
  2. Step 2: Convert to fraction form
    4,015.68/6,024.54 = 1,549.83/x
  3. Step 3: Cross multiply
    4,015.68x = 6,024.54 × 1,549.83
  4. Step 4: Simplify right side
    4,015.68x = 9,337,041.23
  5. Step 5: Solve for x
    x = 9,337,041.23/4,015.68
  6. Step 6: Final answer
    x = 2,325.15

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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.