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Finding the Fourth Proportional to 4,478.49, 6,713.89 and 1,703.57

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Solution

The fourth proportional to 4,478.49, 6,713.89 and 1,703.57 is: 2,553.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,478.49 : 6,713.89 = 1,703.57 : x
  2. Step 2: Convert to fraction form
    4,478.49/6,713.89 = 1,703.57/x
  3. Step 3: Cross multiply
    4,478.49x = 6,713.89 × 1,703.57
  4. Step 4: Simplify right side
    4,478.49x = 11,437,543.76
  5. Step 5: Solve for x
    x = 11,437,543.76/4,478.49
  6. Step 6: Final answer
    x = 2,553.88

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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.