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Finding the Fourth Proportional to 3,459.85, 4,772.46 and 2,465.45

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Solution

The fourth proportional to 3,459.85, 4,772.46 and 2,465.45 is: 3,400.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.85 : 4,772.46 = 2,465.45 : x
  2. Step 2: Convert to fraction form
    3,459.85/4,772.46 = 2,465.45/x
  3. Step 3: Cross multiply
    3,459.85x = 4,772.46 × 2,465.45
  4. Step 4: Simplify right side
    3,459.85x = 11,766,273.74
  5. Step 5: Solve for x
    x = 11,766,273.74/3,459.85
  6. Step 6: Final answer
    x = 3,400.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.