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Finding the Fourth Proportional to 5,672.55, 7,830.16 and 3,283.60

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Solution

The fourth proportional to 5,672.55, 7,830.16 and 3,283.60 is: 4,532.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.55 : 7,830.16 = 3,283.60 : x
  2. Step 2: Convert to fraction form
    5,672.55/7,830.16 = 3,283.60/x
  3. Step 3: Cross multiply
    5,672.55x = 7,830.16 × 3,283.60
  4. Step 4: Simplify right side
    5,672.55x = 25,711,113.38
  5. Step 5: Solve for x
    x = 25,711,113.38/5,672.55
  6. Step 6: Final answer
    x = 4,532.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.