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Finding the Fourth Proportional to 3,667.46, 5,502.12 and 1,070.39

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Solution

The fourth proportional to 3,667.46, 5,502.12 and 1,070.39 is: 1,605.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667.46 : 5,502.12 = 1,070.39 : x
  2. Step 2: Convert to fraction form
    3,667.46/5,502.12 = 1,070.39/x
  3. Step 3: Cross multiply
    3,667.46x = 5,502.12 × 1,070.39
  4. Step 4: Simplify right side
    3,667.46x = 5,889,386.72
  5. Step 5: Solve for x
    x = 5,889,386.72/3,667.46
  6. Step 6: Final answer
    x = 1,605.85

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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.