Home / 5,024-6,923.40-4,959.20

Finding the Fourth Proportional to 5,024, 6,923.40 and 4,959.20

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Solution

The fourth proportional to 5,024, 6,923.40 and 4,959.20 is: 6,834.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,024 : 6,923.40 = 4,959.20 : x
  2. Step 2: Convert to fraction form
    5,024/6,923.40 = 4,959.20/x
  3. Step 3: Cross multiply
    5,024x = 6,923.40 × 4,959.20
  4. Step 4: Simplify right side
    5,024x = 34,334,525.28
  5. Step 5: Solve for x
    x = 34,334,525.28/5,024
  6. Step 6: Final answer
    x = 6,834.10

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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.