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Finding the Fourth Proportional to 3,499.57, 5,244.67 and 2,570.77

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Solution

The fourth proportional to 3,499.57, 5,244.67 and 2,570.77 is: 3,852.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,499.57 : 5,244.67 = 2,570.77 : x
  2. Step 2: Convert to fraction form
    3,499.57/5,244.67 = 2,570.77/x
  3. Step 3: Cross multiply
    3,499.57x = 5,244.67 × 2,570.77
  4. Step 4: Simplify right side
    3,499.57x = 13,482,840.30
  5. Step 5: Solve for x
    x = 13,482,840.30/3,499.57
  6. Step 6: Final answer
    x = 3,852.71

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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.