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Finding the Fourth Proportional to 4,971.40, 7,454.26 and 2,046.22

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Solution

The fourth proportional to 4,971.40, 7,454.26 and 2,046.22 is: 3,068.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.40 : 7,454.26 = 2,046.22 : x
  2. Step 2: Convert to fraction form
    4,971.40/7,454.26 = 2,046.22/x
  3. Step 3: Cross multiply
    4,971.40x = 7,454.26 × 2,046.22
  4. Step 4: Simplify right side
    4,971.40x = 15,253,055.90
  5. Step 5: Solve for x
    x = 15,253,055.90/4,971.40
  6. Step 6: Final answer
    x = 3,068.16

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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.