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Finding the Fourth Proportional to 5,694.29, 7,854.54 and 3,676.91

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Solution

The fourth proportional to 5,694.29, 7,854.54 and 3,676.91 is: 5,071.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694.29 : 7,854.54 = 3,676.91 : x
  2. Step 2: Convert to fraction form
    5,694.29/7,854.54 = 3,676.91/x
  3. Step 3: Cross multiply
    5,694.29x = 7,854.54 × 3,676.91
  4. Step 4: Simplify right side
    5,694.29x = 28,880,397.40
  5. Step 5: Solve for x
    x = 28,880,397.40/5,694.29
  6. Step 6: Final answer
    x = 5,071.82

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1.5x scale

Why These Related Problems?

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