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Finding the Fourth Proportional to 5,149.17, 7,106.54 and 3,053.30

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Solution

The fourth proportional to 5,149.17, 7,106.54 and 3,053.30 is: 4,213.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.17 : 7,106.54 = 3,053.30 : x
  2. Step 2: Convert to fraction form
    5,149.17/7,106.54 = 3,053.30/x
  3. Step 3: Cross multiply
    5,149.17x = 7,106.54 × 3,053.30
  4. Step 4: Simplify right side
    5,149.17x = 21,698,347.78
  5. Step 5: Solve for x
    x = 21,698,347.78/5,149.17
  6. Step 6: Final answer
    x = 4,213.95

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