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Finding the Fourth Proportional to 4,402.84, 6,604.16 and 1,071.11

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Solution

The fourth proportional to 4,402.84, 6,604.16 and 1,071.11 is: 1,606.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,402.84 : 6,604.16 = 1,071.11 : x
  2. Step 2: Convert to fraction form
    4,402.84/6,604.16 = 1,071.11/x
  3. Step 3: Cross multiply
    4,402.84x = 6,604.16 × 1,071.11
  4. Step 4: Simplify right side
    4,402.84x = 7,073,764.86
  5. Step 5: Solve for x
    x = 7,073,764.86/4,402.84
  6. Step 6: Final answer
    x = 1,606.64

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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.