Home / 4,762-7,147.33-2,423.58

Finding the Fourth Proportional to 4,762, 7,147.33 and 2,423.58

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Solution

The fourth proportional to 4,762, 7,147.33 and 2,423.58 is: 3,637.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762 : 7,147.33 = 2,423.58 : x
  2. Step 2: Convert to fraction form
    4,762/7,147.33 = 2,423.58/x
  3. Step 3: Cross multiply
    4,762x = 7,147.33 × 2,423.58
  4. Step 4: Simplify right side
    4,762x = 17,322,126.04
  5. Step 5: Solve for x
    x = 17,322,126.04/4,762
  6. Step 6: Final answer
    x = 3,637.57

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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.