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Finding the Fourth Proportional to 3,503.33, 5,254.86 and 870.84

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Solution

The fourth proportional to 3,503.33, 5,254.86 and 870.84 is: 1,306.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,503.33 : 5,254.86 = 870.84 : x
  2. Step 2: Convert to fraction form
    3,503.33/5,254.86 = 870.84/x
  3. Step 3: Cross multiply
    3,503.33x = 5,254.86 × 870.84
  4. Step 4: Simplify right side
    3,503.33x = 4,576,142.28
  5. Step 5: Solve for x
    x = 4,576,142.28/3,503.33
  6. Step 6: Final answer
    x = 1,306.23

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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.