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Finding the Fourth Proportional to 5,838.59, 8,759.34 and 1,678.59

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Solution

The fourth proportional to 5,838.59, 8,759.34 and 1,678.59 is: 2,518.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,838.59 : 8,759.34 = 1,678.59 : x
  2. Step 2: Convert to fraction form
    5,838.59/8,759.34 = 1,678.59/x
  3. Step 3: Cross multiply
    5,838.59x = 8,759.34 × 1,678.59
  4. Step 4: Simplify right side
    5,838.59x = 14,703,364.69
  5. Step 5: Solve for x
    x = 14,703,364.69/5,838.59
  6. Step 6: Final answer
    x = 2,518.31

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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.