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Finding the Fourth Proportional to 3,703.61, 5,555.49 and 1,071.32

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Solution

The fourth proportional to 3,703.61, 5,555.49 and 1,071.32 is: 1,606.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703.61 : 5,555.49 = 1,071.32 : x
  2. Step 2: Convert to fraction form
    3,703.61/5,555.49 = 1,071.32/x
  3. Step 3: Cross multiply
    3,703.61x = 5,555.49 × 1,071.32
  4. Step 4: Simplify right side
    3,703.61x = 5,951,675.75
  5. Step 5: Solve for x
    x = 5,951,675.75/3,703.61
  6. Step 6: Final answer
    x = 1,606.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.