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Finding the Fourth Proportional to 5,851.38, 8,075.52 and 3,494.82

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Solution

The fourth proportional to 5,851.38, 8,075.52 and 3,494.82 is: 4,823.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,851.38 : 8,075.52 = 3,494.82 : x
  2. Step 2: Convert to fraction form
    5,851.38/8,075.52 = 3,494.82/x
  3. Step 3: Cross multiply
    5,851.38x = 8,075.52 × 3,494.82
  4. Step 4: Simplify right side
    5,851.38x = 28,222,488.81
  5. Step 5: Solve for x
    x = 28,222,488.81/5,851.38
  6. Step 6: Final answer
    x = 4,823.22

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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.