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Finding the Fourth Proportional to 3,688.32, 5,536.80 and 2,304.84

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Solution

The fourth proportional to 3,688.32, 5,536.80 and 2,304.84 is: 3,459.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,688.32 : 5,536.80 = 2,304.84 : x
  2. Step 2: Convert to fraction form
    3,688.32/5,536.80 = 2,304.84/x
  3. Step 3: Cross multiply
    3,688.32x = 5,536.80 × 2,304.84
  4. Step 4: Simplify right side
    3,688.32x = 12,761,438.11
  5. Step 5: Solve for x
    x = 12,761,438.11/3,688.32
  6. Step 6: Final answer
    x = 3,459.96

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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.