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Finding the Fourth Proportional to 5,009.88, 7,515 and 2,537.76

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Solution

The fourth proportional to 5,009.88, 7,515 and 2,537.76 is: 3,806.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,009.88 : 7,515 = 2,537.76 : x
  2. Step 2: Convert to fraction form
    5,009.88/7,515 = 2,537.76/x
  3. Step 3: Cross multiply
    5,009.88x = 7,515 × 2,537.76
  4. Step 4: Simplify right side
    5,009.88x = 19,071,266.40
  5. Step 5: Solve for x
    x = 19,071,266.40/5,009.88
  6. Step 6: Final answer
    x = 3,806.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.