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Finding the Fourth Proportional to 4,859.97, 7,290.22 and 1,397.13

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Solution

The fourth proportional to 4,859.97, 7,290.22 and 1,397.13 is: 2,095.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,859.97 : 7,290.22 = 1,397.13 : x
  2. Step 2: Convert to fraction form
    4,859.97/7,290.22 = 1,397.13/x
  3. Step 3: Cross multiply
    4,859.97x = 7,290.22 × 1,397.13
  4. Step 4: Simplify right side
    4,859.97x = 10,185,385.07
  5. Step 5: Solve for x
    x = 10,185,385.07/4,859.97
  6. Step 6: Final answer
    x = 2,095.77

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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.