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Finding the Fourth Proportional to 3,444.30, 4,751.60 and 2,946.15

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Solution

The fourth proportional to 3,444.30, 4,751.60 and 2,946.15 is: 4,064.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,444.30 : 4,751.60 = 2,946.15 : x
  2. Step 2: Convert to fraction form
    3,444.30/4,751.60 = 2,946.15/x
  3. Step 3: Cross multiply
    3,444.30x = 4,751.60 × 2,946.15
  4. Step 4: Simplify right side
    3,444.30x = 13,998,911.61
  5. Step 5: Solve for x
    x = 13,998,911.61/3,444.30
  6. Step 6: Final answer
    x = 4,064.37

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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.