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Finding the Fourth Proportional to 4,659.98, 6,988.47 and 1,539.39

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Solution

The fourth proportional to 4,659.98, 6,988.47 and 1,539.39 is: 2,308.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.98 : 6,988.47 = 1,539.39 : x
  2. Step 2: Convert to fraction form
    4,659.98/6,988.47 = 1,539.39/x
  3. Step 3: Cross multiply
    4,659.98x = 6,988.47 × 1,539.39
  4. Step 4: Simplify right side
    4,659.98x = 10,757,980.83
  5. Step 5: Solve for x
    x = 10,757,980.83/4,659.98
  6. Step 6: Final answer
    x = 2,308.59

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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.