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Finding the Fourth Proportional to 5,095.66, 7,642.67 and 1,397.03

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Solution

The fourth proportional to 5,095.66, 7,642.67 and 1,397.03 is: 2,095.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,095.66 : 7,642.67 = 1,397.03 : x
  2. Step 2: Convert to fraction form
    5,095.66/7,642.67 = 1,397.03/x
  3. Step 3: Cross multiply
    5,095.66x = 7,642.67 × 1,397.03
  4. Step 4: Simplify right side
    5,095.66x = 10,677,001.93
  5. Step 5: Solve for x
    x = 10,677,001.93/5,095.66
  6. Step 6: Final answer
    x = 2,095.31

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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.