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Finding the Fourth Proportional to 4,837.89, 7,259.56 and 2,064.30

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Solution

The fourth proportional to 4,837.89, 7,259.56 and 2,064.30 is: 3,097.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,837.89 : 7,259.56 = 2,064.30 : x
  2. Step 2: Convert to fraction form
    4,837.89/7,259.56 = 2,064.30/x
  3. Step 3: Cross multiply
    4,837.89x = 7,259.56 × 2,064.30
  4. Step 4: Simplify right side
    4,837.89x = 14,985,909.71
  5. Step 5: Solve for x
    x = 14,985,909.71/4,837.89
  6. Step 6: Final answer
    x = 3,097.61

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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.