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Finding the Fourth Proportional to 3,802.93, 5,704.53 and 1,337.68

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Solution

The fourth proportional to 3,802.93, 5,704.53 and 1,337.68 is: 2,006.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.93 : 5,704.53 = 1,337.68 : x
  2. Step 2: Convert to fraction form
    3,802.93/5,704.53 = 1,337.68/x
  3. Step 3: Cross multiply
    3,802.93x = 5,704.53 × 1,337.68
  4. Step 4: Simplify right side
    3,802.93x = 7,630,835.69
  5. Step 5: Solve for x
    x = 7,630,835.69/3,802.93
  6. Step 6: Final answer
    x = 2,006.57

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1.5x scale

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.