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Finding the Fourth Proportional to 5,894.77, 8,842.71 and 1,734.78

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Solution

The fourth proportional to 5,894.77, 8,842.71 and 1,734.78 is: 2,602.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.77 : 8,842.71 = 1,734.78 : x
  2. Step 2: Convert to fraction form
    5,894.77/8,842.71 = 1,734.78/x
  3. Step 3: Cross multiply
    5,894.77x = 8,842.71 × 1,734.78
  4. Step 4: Simplify right side
    5,894.77x = 15,340,156.45
  5. Step 5: Solve for x
    x = 15,340,156.45/5,894.77
  6. Step 6: Final answer
    x = 2,602.33

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1.5x scale

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.