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Finding the Fourth Proportional to 5,709.60, 8,564.40 and 4,874.40

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Solution

The fourth proportional to 5,709.60, 8,564.40 and 4,874.40 is: 7,311.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.60 : 8,564.40 = 4,874.40 : x
  2. Step 2: Convert to fraction form
    5,709.60/8,564.40 = 4,874.40/x
  3. Step 3: Cross multiply
    5,709.60x = 8,564.40 × 4,874.40
  4. Step 4: Simplify right side
    5,709.60x = 41,746,311.36
  5. Step 5: Solve for x
    x = 41,746,311.36/5,709.60
  6. Step 6: Final answer
    x = 7,311.60

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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.