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Finding the Fourth Proportional to 3,656.46, 5,486.16 and 1,707.45

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Solution

The fourth proportional to 3,656.46, 5,486.16 and 1,707.45 is: 2,561.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.46 : 5,486.16 = 1,707.45 : x
  2. Step 2: Convert to fraction form
    3,656.46/5,486.16 = 1,707.45/x
  3. Step 3: Cross multiply
    3,656.46x = 5,486.16 × 1,707.45
  4. Step 4: Simplify right side
    3,656.46x = 9,367,343.89
  5. Step 5: Solve for x
    x = 9,367,343.89/3,656.46
  6. Step 6: Final answer
    x = 2,561.86

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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.