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Finding the Fourth Proportional to 3,656.86, 5,486.10 and 1,708

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Solution

The fourth proportional to 3,656.86, 5,486.10 and 1,708 is: 2,562.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.86 : 5,486.10 = 1,708 : x
  2. Step 2: Convert to fraction form
    3,656.86/5,486.10 = 1,708/x
  3. Step 3: Cross multiply
    3,656.86x = 5,486.10 × 1,708
  4. Step 4: Simplify right side
    3,656.86x = 9,370,258.80
  5. Step 5: Solve for x
    x = 9,370,258.80/3,656.86
  6. Step 6: Final answer
    x = 2,562.38

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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.