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Finding the Fourth Proportional to 3,056.80, 4,223.28 and 2,823.52

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Solution

The fourth proportional to 3,056.80, 4,223.28 and 2,823.52 is: 3,900.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,056.80 : 4,223.28 = 2,823.52 : x
  2. Step 2: Convert to fraction form
    3,056.80/4,223.28 = 2,823.52/x
  3. Step 3: Cross multiply
    3,056.80x = 4,223.28 × 2,823.52
  4. Step 4: Simplify right side
    3,056.80x = 11,924,515.55
  5. Step 5: Solve for x
    x = 11,924,515.55/3,056.80
  6. Step 6: Final answer
    x = 3,900.98

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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.