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Finding the Fourth Proportional to 5,680.59, 7,838.01 and 3,583.50

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Solution

The fourth proportional to 5,680.59, 7,838.01 and 3,583.50 is: 4,944.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,680.59 : 7,838.01 = 3,583.50 : x
  2. Step 2: Convert to fraction form
    5,680.59/7,838.01 = 3,583.50/x
  3. Step 3: Cross multiply
    5,680.59x = 7,838.01 × 3,583.50
  4. Step 4: Simplify right side
    5,680.59x = 28,087,508.84
  5. Step 5: Solve for x
    x = 28,087,508.84/5,680.59
  6. Step 6: Final answer
    x = 4,944.47

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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.