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Finding the Fourth Proportional to 4,113.65, 5,673.74 and 2,854.71

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Solution

The fourth proportional to 4,113.65, 5,673.74 and 2,854.71 is: 3,937.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,113.65 : 5,673.74 = 2,854.71 : x
  2. Step 2: Convert to fraction form
    4,113.65/5,673.74 = 2,854.71/x
  3. Step 3: Cross multiply
    4,113.65x = 5,673.74 × 2,854.71
  4. Step 4: Simplify right side
    4,113.65x = 16,196,868.04
  5. Step 5: Solve for x
    x = 16,196,868.04/4,113.65
  6. Step 6: Final answer
    x = 3,937.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.