Home / 5,202-7,800.44-2,278.48

Finding the Fourth Proportional to 5,202, 7,800.44 and 2,278.48

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Solution

The fourth proportional to 5,202, 7,800.44 and 2,278.48 is: 3,416.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202 : 7,800.44 = 2,278.48 : x
  2. Step 2: Convert to fraction form
    5,202/7,800.44 = 2,278.48/x
  3. Step 3: Cross multiply
    5,202x = 7,800.44 × 2,278.48
  4. Step 4: Simplify right side
    5,202x = 17,773,146.53
  5. Step 5: Solve for x
    x = 17,773,146.53/5,202
  6. Step 6: Final answer
    x = 3,416.60

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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.