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Finding the Fourth Proportional to 3,568.14, 5,352.21 and 1,259.10

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Solution

The fourth proportional to 3,568.14, 5,352.21 and 1,259.10 is: 1,888.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,568.14 : 5,352.21 = 1,259.10 : x
  2. Step 2: Convert to fraction form
    3,568.14/5,352.21 = 1,259.10/x
  3. Step 3: Cross multiply
    3,568.14x = 5,352.21 × 1,259.10
  4. Step 4: Simplify right side
    3,568.14x = 6,738,967.61
  5. Step 5: Solve for x
    x = 6,738,967.61/3,568.14
  6. Step 6: Final answer
    x = 1,888.65

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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.