Home / 5,702.16-7,865.28-4,026

Finding the Fourth Proportional to 5,702.16, 7,865.28 and 4,026

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Solution

The fourth proportional to 5,702.16, 7,865.28 and 4,026 is: 5,553.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.16 : 7,865.28 = 4,026 : x
  2. Step 2: Convert to fraction form
    5,702.16/7,865.28 = 4,026/x
  3. Step 3: Cross multiply
    5,702.16x = 7,865.28 × 4,026
  4. Step 4: Simplify right side
    5,702.16x = 31,665,617.28
  5. Step 5: Solve for x
    x = 31,665,617.28/5,702.16
  6. Step 6: Final answer
    x = 5,553.27

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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.