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Finding the Fourth Proportional to 5,869.29, 8,097.60 and 3,478.77

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Solution

The fourth proportional to 5,869.29, 8,097.60 and 3,478.77 is: 4,799.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,869.29 : 8,097.60 = 3,478.77 : x
  2. Step 2: Convert to fraction form
    5,869.29/8,097.60 = 3,478.77/x
  3. Step 3: Cross multiply
    5,869.29x = 8,097.60 × 3,478.77
  4. Step 4: Simplify right side
    5,869.29x = 28,169,705.27
  5. Step 5: Solve for x
    x = 28,169,705.27/5,869.29
  6. Step 6: Final answer
    x = 4,799.51

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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.