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Finding the Fourth Proportional to 3,527.84, 4,866 and 2,594.72

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Solution

The fourth proportional to 3,527.84, 4,866 and 2,594.72 is: 3,578.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.84 : 4,866 = 2,594.72 : x
  2. Step 2: Convert to fraction form
    3,527.84/4,866 = 2,594.72/x
  3. Step 3: Cross multiply
    3,527.84x = 4,866 × 2,594.72
  4. Step 4: Simplify right side
    3,527.84x = 12,625,907.52
  5. Step 5: Solve for x
    x = 12,625,907.52/3,527.84
  6. Step 6: Final answer
    x = 3,578.93

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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.