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Finding the Fourth Proportional to 5,170.56, 7,756.32 and 1,708.08

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Solution

The fourth proportional to 5,170.56, 7,756.32 and 1,708.08 is: 2,562.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,170.56 : 7,756.32 = 1,708.08 : x
  2. Step 2: Convert to fraction form
    5,170.56/7,756.32 = 1,708.08/x
  3. Step 3: Cross multiply
    5,170.56x = 7,756.32 × 1,708.08
  4. Step 4: Simplify right side
    5,170.56x = 13,248,415.07
  5. Step 5: Solve for x
    x = 13,248,415.07/5,170.56
  6. Step 6: Final answer
    x = 2,562.28

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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.