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Finding the Fourth Proportional to 3,484.88, 5,228.28 and 3,102.80

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Solution

The fourth proportional to 3,484.88, 5,228.28 and 3,102.80 is: 4,655.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.88 : 5,228.28 = 3,102.80 : x
  2. Step 2: Convert to fraction form
    3,484.88/5,228.28 = 3,102.80/x
  3. Step 3: Cross multiply
    3,484.88x = 5,228.28 × 3,102.80
  4. Step 4: Simplify right side
    3,484.88x = 16,222,307.18
  5. Step 5: Solve for x
    x = 16,222,307.18/3,484.88
  6. Step 6: Final answer
    x = 4,655.05

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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.