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Finding the Fourth Proportional to 3,606.75, 5,410.13 and 870.75

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Solution

The fourth proportional to 3,606.75, 5,410.13 and 870.75 is: 1,306.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606.75 : 5,410.13 = 870.75 : x
  2. Step 2: Convert to fraction form
    3,606.75/5,410.13 = 870.75/x
  3. Step 3: Cross multiply
    3,606.75x = 5,410.13 × 870.75
  4. Step 4: Simplify right side
    3,606.75x = 4,710,870.70
  5. Step 5: Solve for x
    x = 4,710,870.70/3,606.75
  6. Step 6: Final answer
    x = 1,306.13

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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.