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Finding the Fourth Proportional to 5,137.65, 7,706.73 and 2,017.38

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Solution

The fourth proportional to 5,137.65, 7,706.73 and 2,017.38 is: 3,026.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.65 : 7,706.73 = 2,017.38 : x
  2. Step 2: Convert to fraction form
    5,137.65/7,706.73 = 2,017.38/x
  3. Step 3: Cross multiply
    5,137.65x = 7,706.73 × 2,017.38
  4. Step 4: Simplify right side
    5,137.65x = 15,547,402.97
  5. Step 5: Solve for x
    x = 15,547,402.97/5,137.65
  6. Step 6: Final answer
    x = 3,026.17

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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.