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Finding the Fourth Proportional to 5,101.65, 7,645.19 and 3,802.41

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Solution

The fourth proportional to 5,101.65, 7,645.19 and 3,802.41 is: 5,698.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101.65 : 7,645.19 = 3,802.41 : x
  2. Step 2: Convert to fraction form
    5,101.65/7,645.19 = 3,802.41/x
  3. Step 3: Cross multiply
    5,101.65x = 7,645.19 × 3,802.41
  4. Step 4: Simplify right side
    5,101.65x = 29,070,127.90
  5. Step 5: Solve for x
    x = 29,070,127.90/5,101.65
  6. Step 6: Final answer
    x = 5,698.18

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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.