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Finding the Fourth Proportional to 5,094.65, 7,641.36 and 1,397.21

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Solution

The fourth proportional to 5,094.65, 7,641.36 and 1,397.21 is: 2,095.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,094.65 : 7,641.36 = 1,397.21 : x
  2. Step 2: Convert to fraction form
    5,094.65/7,641.36 = 1,397.21/x
  3. Step 3: Cross multiply
    5,094.65x = 7,641.36 × 1,397.21
  4. Step 4: Simplify right side
    5,094.65x = 10,676,546.40
  5. Step 5: Solve for x
    x = 10,676,546.40/5,094.65
  6. Step 6: Final answer
    x = 2,095.64

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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.