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Finding the Fourth Proportional to 3,510.60, 5,266.85 and 1,170.98

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Solution

The fourth proportional to 3,510.60, 5,266.85 and 1,170.98 is: 1,756.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,510.60 : 5,266.85 = 1,170.98 : x
  2. Step 2: Convert to fraction form
    3,510.60/5,266.85 = 1,170.98/x
  3. Step 3: Cross multiply
    3,510.60x = 5,266.85 × 1,170.98
  4. Step 4: Simplify right side
    3,510.60x = 6,167,343.82
  5. Step 5: Solve for x
    x = 6,167,343.82/3,510.60
  6. Step 6: Final answer
    x = 1,756.78

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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.