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Finding the Fourth Proportional to 4,281.84, 6,425.10 and 2,980.80

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Solution

The fourth proportional to 4,281.84, 6,425.10 and 2,980.80 is: 4,472.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,281.84 : 6,425.10 = 2,980.80 : x
  2. Step 2: Convert to fraction form
    4,281.84/6,425.10 = 2,980.80/x
  3. Step 3: Cross multiply
    4,281.84x = 6,425.10 × 2,980.80
  4. Step 4: Simplify right side
    4,281.84x = 19,151,938.08
  5. Step 5: Solve for x
    x = 19,151,938.08/4,281.84
  6. Step 6: Final answer
    x = 4,472.83

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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.