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Finding the Fourth Proportional to 6,159.05, 8,498.69 and 3,470.33

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Solution

The fourth proportional to 6,159.05, 8,498.69 and 3,470.33 is: 4,788.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,159.05 : 8,498.69 = 3,470.33 : x
  2. Step 2: Convert to fraction form
    6,159.05/8,498.69 = 3,470.33/x
  3. Step 3: Cross multiply
    6,159.05x = 8,498.69 × 3,470.33
  4. Step 4: Simplify right side
    6,159.05x = 29,493,199.02
  5. Step 5: Solve for x
    x = 29,493,199.02/6,159.05
  6. Step 6: Final answer
    x = 4,788.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.