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Finding the Fourth Proportional to 5,458.82, 8,146.02 and 4,869.08

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Solution

The fourth proportional to 5,458.82, 8,146.02 and 4,869.08 is: 7,265.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,458.82 : 8,146.02 = 4,869.08 : x
  2. Step 2: Convert to fraction form
    5,458.82/8,146.02 = 4,869.08/x
  3. Step 3: Cross multiply
    5,458.82x = 8,146.02 × 4,869.08
  4. Step 4: Simplify right side
    5,458.82x = 39,663,623.06
  5. Step 5: Solve for x
    x = 39,663,623.06/5,458.82
  6. Step 6: Final answer
    x = 7,265.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.