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Finding the Fourth Proportional to 3,652.83, 5,482.50 and 1,706.13

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Solution

The fourth proportional to 3,652.83, 5,482.50 and 1,706.13 is: 2,560.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.83 : 5,482.50 = 1,706.13 : x
  2. Step 2: Convert to fraction form
    3,652.83/5,482.50 = 1,706.13/x
  3. Step 3: Cross multiply
    3,652.83x = 5,482.50 × 1,706.13
  4. Step 4: Simplify right side
    3,652.83x = 9,353,857.73
  5. Step 5: Solve for x
    x = 9,353,857.73/3,652.83
  6. Step 6: Final answer
    x = 2,560.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.