Home / 5,046.48-7,567.12-2,270.78

Finding the Fourth Proportional to 5,046.48, 7,567.12 and 2,270.78

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Solution

The fourth proportional to 5,046.48, 7,567.12 and 2,270.78 is: 3,405.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,046.48 : 7,567.12 = 2,270.78 : x
  2. Step 2: Convert to fraction form
    5,046.48/7,567.12 = 2,270.78/x
  3. Step 3: Cross multiply
    5,046.48x = 7,567.12 × 2,270.78
  4. Step 4: Simplify right side
    5,046.48x = 17,183,264.75
  5. Step 5: Solve for x
    x = 17,183,264.75/5,046.48
  6. Step 6: Final answer
    x = 3,405.00

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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.