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Finding the Fourth Proportional to 3,283.76, 4,530.53 and 1,867.36

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Solution

The fourth proportional to 3,283.76, 4,530.53 and 1,867.36 is: 2,576.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283.76 : 4,530.53 = 1,867.36 : x
  2. Step 2: Convert to fraction form
    3,283.76/4,530.53 = 1,867.36/x
  3. Step 3: Cross multiply
    3,283.76x = 4,530.53 × 1,867.36
  4. Step 4: Simplify right side
    3,283.76x = 8,460,123.84
  5. Step 5: Solve for x
    x = 8,460,123.84/3,283.76
  6. Step 6: Final answer
    x = 2,576.36

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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.