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Finding the Fourth Proportional to 3,708.79, 5,564.03 and 1,111.66

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Solution

The fourth proportional to 3,708.79, 5,564.03 and 1,111.66 is: 1,667.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,708.79 : 5,564.03 = 1,111.66 : x
  2. Step 2: Convert to fraction form
    3,708.79/5,564.03 = 1,111.66/x
  3. Step 3: Cross multiply
    3,708.79x = 5,564.03 × 1,111.66
  4. Step 4: Simplify right side
    3,708.79x = 6,185,290.12
  5. Step 5: Solve for x
    x = 6,185,290.12/3,708.79
  6. Step 6: Final answer
    x = 1,667.74

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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.