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Finding the Fourth Proportional to 5,300.67, 7,946.65 and 2,337.01

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Solution

The fourth proportional to 5,300.67, 7,946.65 and 2,337.01 is: 3,503.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.67 : 7,946.65 = 2,337.01 : x
  2. Step 2: Convert to fraction form
    5,300.67/7,946.65 = 2,337.01/x
  3. Step 3: Cross multiply
    5,300.67x = 7,946.65 × 2,337.01
  4. Step 4: Simplify right side
    5,300.67x = 18,571,400.52
  5. Step 5: Solve for x
    x = 18,571,400.52/5,300.67
  6. Step 6: Final answer
    x = 3,503.59

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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.