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Finding the Fourth Proportional to 5,069.36, 7,598.36 and 2,291.87

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Solution

The fourth proportional to 5,069.36, 7,598.36 and 2,291.87 is: 3,435.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,069.36 : 7,598.36 = 2,291.87 : x
  2. Step 2: Convert to fraction form
    5,069.36/7,598.36 = 2,291.87/x
  3. Step 3: Cross multiply
    5,069.36x = 7,598.36 × 2,291.87
  4. Step 4: Simplify right side
    5,069.36x = 17,414,421.07
  5. Step 5: Solve for x
    x = 17,414,421.07/5,069.36
  6. Step 6: Final answer
    x = 3,435.23

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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.