Home / 5,134-7,702.32-2,056

Finding the Fourth Proportional to 5,134, 7,702.32 and 2,056

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Solution

The fourth proportional to 5,134, 7,702.32 and 2,056 is: 3,084.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,134 : 7,702.32 = 2,056 : x
  2. Step 2: Convert to fraction form
    5,134/7,702.32 = 2,056/x
  3. Step 3: Cross multiply
    5,134x = 7,702.32 × 2,056
  4. Step 4: Simplify right side
    5,134x = 15,835,969.92
  5. Step 5: Solve for x
    x = 15,835,969.92/5,134
  6. Step 6: Final answer
    x = 3,084.53

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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.