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Finding the Fourth Proportional to 3,667.56, 5,501.40 and 1,070.52

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Solution

The fourth proportional to 3,667.56, 5,501.40 and 1,070.52 is: 1,605.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667.56 : 5,501.40 = 1,070.52 : x
  2. Step 2: Convert to fraction form
    3,667.56/5,501.40 = 1,070.52/x
  3. Step 3: Cross multiply
    3,667.56x = 5,501.40 × 1,070.52
  4. Step 4: Simplify right side
    3,667.56x = 5,889,358.73
  5. Step 5: Solve for x
    x = 5,889,358.73/3,667.56
  6. Step 6: Final answer
    x = 1,605.80

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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.