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Finding the Fourth Proportional to 5,002.84, 7,504.08 and 1,540

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Solution

The fourth proportional to 5,002.84, 7,504.08 and 1,540 is: 2,309.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,002.84 : 7,504.08 = 1,540 : x
  2. Step 2: Convert to fraction form
    5,002.84/7,504.08 = 1,540/x
  3. Step 3: Cross multiply
    5,002.84x = 7,504.08 × 1,540
  4. Step 4: Simplify right side
    5,002.84x = 11,556,283.20
  5. Step 5: Solve for x
    x = 11,556,283.20/5,002.84
  6. Step 6: Final answer
    x = 2,309.94

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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.