Home / 4,123.76-6,184.08-1,526

Finding the Fourth Proportional to 4,123.76, 6,184.08 and 1,526

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Solution

The fourth proportional to 4,123.76, 6,184.08 and 1,526 is: 2,288.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,123.76 : 6,184.08 = 1,526 : x
  2. Step 2: Convert to fraction form
    4,123.76/6,184.08 = 1,526/x
  3. Step 3: Cross multiply
    4,123.76x = 6,184.08 × 1,526
  4. Step 4: Simplify right side
    4,123.76x = 9,436,906.08
  5. Step 5: Solve for x
    x = 9,436,906.08/4,123.76
  6. Step 6: Final answer
    x = 2,288.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.