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Finding the Fourth Proportional to 4,659.68, 6,987.36 and 2,319.59

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Solution

The fourth proportional to 4,659.68, 6,987.36 and 2,319.59 is: 3,478.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.68 : 6,987.36 = 2,319.59 : x
  2. Step 2: Convert to fraction form
    4,659.68/6,987.36 = 2,319.59/x
  3. Step 3: Cross multiply
    4,659.68x = 6,987.36 × 2,319.59
  4. Step 4: Simplify right side
    4,659.68x = 16,207,810.38
  5. Step 5: Solve for x
    x = 16,207,810.38/4,659.68
  6. Step 6: Final answer
    x = 3,478.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.