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Finding the Fourth Proportional to 5,867.64, 8,792.14 and 4,766.64

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Solution

The fourth proportional to 5,867.64, 8,792.14 and 4,766.64 is: 7,142.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,867.64 : 8,792.14 = 4,766.64 : x
  2. Step 2: Convert to fraction form
    5,867.64/8,792.14 = 4,766.64/x
  3. Step 3: Cross multiply
    5,867.64x = 8,792.14 × 4,766.64
  4. Step 4: Simplify right side
    5,867.64x = 41,908,966.21
  5. Step 5: Solve for x
    x = 41,908,966.21/5,867.64
  6. Step 6: Final answer
    x = 7,142.39

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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.