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Finding the Fourth Proportional to 3,039.76, 4,562.88 and 2,427.28

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Solution

The fourth proportional to 3,039.76, 4,562.88 and 2,427.28 is: 3,643.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,039.76 : 4,562.88 = 2,427.28 : x
  2. Step 2: Convert to fraction form
    3,039.76/4,562.88 = 2,427.28/x
  3. Step 3: Cross multiply
    3,039.76x = 4,562.88 × 2,427.28
  4. Step 4: Simplify right side
    3,039.76x = 11,075,387.37
  5. Step 5: Solve for x
    x = 11,075,387.37/3,039.76
  6. Step 6: Final answer
    x = 3,643.51

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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.