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Finding the Fourth Proportional to 3,501.25, 5,252.65 and 2,574

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Solution

The fourth proportional to 3,501.25, 5,252.65 and 2,574 is: 3,861.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,501.25 : 5,252.65 = 2,574 : x
  2. Step 2: Convert to fraction form
    3,501.25/5,252.65 = 2,574/x
  3. Step 3: Cross multiply
    3,501.25x = 5,252.65 × 2,574
  4. Step 4: Simplify right side
    3,501.25x = 13,520,321.10
  5. Step 5: Solve for x
    x = 13,520,321.10/3,501.25
  6. Step 6: Final answer
    x = 3,861.57

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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.