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Finding the Fourth Proportional to 4,296.75, 6,445.12 and 1,176.78

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Solution

The fourth proportional to 4,296.75, 6,445.12 and 1,176.78 is: 1,765.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296.75 : 6,445.12 = 1,176.78 : x
  2. Step 2: Convert to fraction form
    4,296.75/6,445.12 = 1,176.78/x
  3. Step 3: Cross multiply
    4,296.75x = 6,445.12 × 1,176.78
  4. Step 4: Simplify right side
    4,296.75x = 7,584,482.43
  5. Step 5: Solve for x
    x = 7,584,482.43/4,296.75
  6. Step 6: Final answer
    x = 1,765.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.