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Finding the Fourth Proportional to 4,767.60, 7,154.10 and 1,846.11

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Solution

The fourth proportional to 4,767.60, 7,154.10 and 1,846.11 is: 2,770.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,767.60 : 7,154.10 = 1,846.11 : x
  2. Step 2: Convert to fraction form
    4,767.60/7,154.10 = 1,846.11/x
  3. Step 3: Cross multiply
    4,767.60x = 7,154.10 × 1,846.11
  4. Step 4: Simplify right side
    4,767.60x = 13,207,255.55
  5. Step 5: Solve for x
    x = 13,207,255.55/4,767.60
  6. Step 6: Final answer
    x = 2,770.21

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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.