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Finding the Fourth Proportional to 4,592.67, 6,337.76 and 2,823.99

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Solution

The fourth proportional to 4,592.67, 6,337.76 and 2,823.99 is: 3,897.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,592.67 : 6,337.76 = 2,823.99 : x
  2. Step 2: Convert to fraction form
    4,592.67/6,337.76 = 2,823.99/x
  3. Step 3: Cross multiply
    4,592.67x = 6,337.76 × 2,823.99
  4. Step 4: Simplify right side
    4,592.67x = 17,897,756.74
  5. Step 5: Solve for x
    x = 17,897,756.74/4,592.67
  6. Step 6: Final answer
    x = 3,897.03

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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.