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Finding the Fourth Proportional to 3,283.20, 4,924.80 and 3,014.40

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Solution

The fourth proportional to 3,283.20, 4,924.80 and 3,014.40 is: 4,521.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283.20 : 4,924.80 = 3,014.40 : x
  2. Step 2: Convert to fraction form
    3,283.20/4,924.80 = 3,014.40/x
  3. Step 3: Cross multiply
    3,283.20x = 4,924.80 × 3,014.40
  4. Step 4: Simplify right side
    3,283.20x = 14,845,317.12
  5. Step 5: Solve for x
    x = 14,845,317.12/3,283.20
  6. Step 6: Final answer
    x = 4,521.60

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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.