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Finding the Fourth Proportional to 4,859.64, 7,289.90 and 1,349.86

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Solution

The fourth proportional to 4,859.64, 7,289.90 and 1,349.86 is: 2,024.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,859.64 : 7,289.90 = 1,349.86 : x
  2. Step 2: Convert to fraction form
    4,859.64/7,289.90 = 1,349.86/x
  3. Step 3: Cross multiply
    4,859.64x = 7,289.90 × 1,349.86
  4. Step 4: Simplify right side
    4,859.64x = 9,840,344.41
  5. Step 5: Solve for x
    x = 9,840,344.41/4,859.64
  6. Step 6: Final answer
    x = 2,024.91

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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.