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Finding the Fourth Proportional to 3,751.65, 5,615.67 and 2,574.77

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Solution

The fourth proportional to 3,751.65, 5,615.67 and 2,574.77 is: 3,854.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751.65 : 5,615.67 = 2,574.77 : x
  2. Step 2: Convert to fraction form
    3,751.65/5,615.67 = 2,574.77/x
  3. Step 3: Cross multiply
    3,751.65x = 5,615.67 × 2,574.77
  4. Step 4: Simplify right side
    3,751.65x = 14,459,017.69
  5. Step 5: Solve for x
    x = 14,459,017.69/3,751.65
  6. Step 6: Final answer
    x = 3,854.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.