Home / 5,102.59-7,042.31-2,834.45

Finding the Fourth Proportional to 5,102.59, 7,042.31 and 2,834.45

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Solution

The fourth proportional to 5,102.59, 7,042.31 and 2,834.45 is: 3,911.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.59 : 7,042.31 = 2,834.45 : x
  2. Step 2: Convert to fraction form
    5,102.59/7,042.31 = 2,834.45/x
  3. Step 3: Cross multiply
    5,102.59x = 7,042.31 × 2,834.45
  4. Step 4: Simplify right side
    5,102.59x = 19,961,075.58
  5. Step 5: Solve for x
    x = 19,961,075.58/5,102.59
  6. Step 6: Final answer
    x = 3,911.95

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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.