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Finding the Fourth Proportional to 5,024.78, 6,934.10 and 2,756.13

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Solution

The fourth proportional to 5,024.78, 6,934.10 and 2,756.13 is: 3,803.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,024.78 : 6,934.10 = 2,756.13 : x
  2. Step 2: Convert to fraction form
    5,024.78/6,934.10 = 2,756.13/x
  3. Step 3: Cross multiply
    5,024.78x = 6,934.10 × 2,756.13
  4. Step 4: Simplify right side
    5,024.78x = 19,111,232.58
  5. Step 5: Solve for x
    x = 19,111,232.58/5,024.78
  6. Step 6: Final answer
    x = 3,803.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.