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Finding the Fourth Proportional to 3,052.06, 4,577.10 and 860.20

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Solution

The fourth proportional to 3,052.06, 4,577.10 and 860.20 is: 1,290.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.06 : 4,577.10 = 860.20 : x
  2. Step 2: Convert to fraction form
    3,052.06/4,577.10 = 860.20/x
  3. Step 3: Cross multiply
    3,052.06x = 4,577.10 × 860.20
  4. Step 4: Simplify right side
    3,052.06x = 3,937,221.42
  5. Step 5: Solve for x
    x = 3,937,221.42/3,052.06
  6. Step 6: Final answer
    x = 1,290.02

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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.