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Finding the Fourth Proportional to 3,686.56, 5,528.16 and 2,297.76

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Solution

The fourth proportional to 3,686.56, 5,528.16 and 2,297.76 is: 3,445.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.56 : 5,528.16 = 2,297.76 : x
  2. Step 2: Convert to fraction form
    3,686.56/5,528.16 = 2,297.76/x
  3. Step 3: Cross multiply
    3,686.56x = 5,528.16 × 2,297.76
  4. Step 4: Simplify right side
    3,686.56x = 12,702,384.92
  5. Step 5: Solve for x
    x = 12,702,384.92/3,686.56
  6. Step 6: Final answer
    x = 3,445.59

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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.