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Finding the Fourth Proportional to 5,639.46, 7,782.02 and 3,121.60

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Solution

The fourth proportional to 5,639.46, 7,782.02 and 3,121.60 is: 4,307.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,639.46 : 7,782.02 = 3,121.60 : x
  2. Step 2: Convert to fraction form
    5,639.46/7,782.02 = 3,121.60/x
  3. Step 3: Cross multiply
    5,639.46x = 7,782.02 × 3,121.60
  4. Step 4: Simplify right side
    5,639.46x = 24,292,353.63
  5. Step 5: Solve for x
    x = 24,292,353.63/5,639.46
  6. Step 6: Final answer
    x = 4,307.57

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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.