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Finding the Fourth Proportional to 4,656.12, 6,969.42 and 2,461.80

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Solution

The fourth proportional to 4,656.12, 6,969.42 and 2,461.80 is: 3,684.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.12 : 6,969.42 = 2,461.80 : x
  2. Step 2: Convert to fraction form
    4,656.12/6,969.42 = 2,461.80/x
  3. Step 3: Cross multiply
    4,656.12x = 6,969.42 × 2,461.80
  4. Step 4: Simplify right side
    4,656.12x = 17,157,318.16
  5. Step 5: Solve for x
    x = 17,157,318.16/4,656.12
  6. Step 6: Final answer
    x = 3,684.90

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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.