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Finding the Fourth Proportional to 5,894.60, 8,834.20 and 4,502.80

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Solution

The fourth proportional to 5,894.60, 8,834.20 and 4,502.80 is: 6,748.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.60 : 8,834.20 = 4,502.80 : x
  2. Step 2: Convert to fraction form
    5,894.60/8,834.20 = 4,502.80/x
  3. Step 3: Cross multiply
    5,894.60x = 8,834.20 × 4,502.80
  4. Step 4: Simplify right side
    5,894.60x = 39,778,635.76
  5. Step 5: Solve for x
    x = 39,778,635.76/5,894.60
  6. Step 6: Final answer
    x = 6,748.32

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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.