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Finding the Fourth Proportional to 5,677.60, 8,522.80 and 4,384.80

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Solution

The fourth proportional to 5,677.60, 8,522.80 and 4,384.80 is: 6,582.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.60 : 8,522.80 = 4,384.80 : x
  2. Step 2: Convert to fraction form
    5,677.60/8,522.80 = 4,384.80/x
  3. Step 3: Cross multiply
    5,677.60x = 8,522.80 × 4,384.80
  4. Step 4: Simplify right side
    5,677.60x = 37,370,773.44
  5. Step 5: Solve for x
    x = 37,370,773.44/5,677.60
  6. Step 6: Final answer
    x = 6,582.14

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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.