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Finding the Fourth Proportional to 5,098.24, 7,648.96 and 3,539.76

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Solution

The fourth proportional to 5,098.24, 7,648.96 and 3,539.76 is: 5,310.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.24 : 7,648.96 = 3,539.76 : x
  2. Step 2: Convert to fraction form
    5,098.24/7,648.96 = 3,539.76/x
  3. Step 3: Cross multiply
    5,098.24x = 7,648.96 × 3,539.76
  4. Step 4: Simplify right side
    5,098.24x = 27,075,482.65
  5. Step 5: Solve for x
    x = 27,075,482.65/5,098.24
  6. Step 6: Final answer
    x = 5,310.75

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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.