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Finding the Fourth Proportional to 3,059.48, 4,588.26 and 868.28

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Solution

The fourth proportional to 3,059.48, 4,588.26 and 868.28 is: 1,302.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,059.48 : 4,588.26 = 868.28 : x
  2. Step 2: Convert to fraction form
    3,059.48/4,588.26 = 868.28/x
  3. Step 3: Cross multiply
    3,059.48x = 4,588.26 × 868.28
  4. Step 4: Simplify right side
    3,059.48x = 3,983,894.39
  5. Step 5: Solve for x
    x = 3,983,894.39/3,059.48
  6. Step 6: Final answer
    x = 1,302.15

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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.