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Finding the Fourth Proportional to 3,530.71, 4,872.82 and 2,038.63

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Solution

The fourth proportional to 3,530.71, 4,872.82 and 2,038.63 is: 2,813.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.71 : 4,872.82 = 2,038.63 : x
  2. Step 2: Convert to fraction form
    3,530.71/4,872.82 = 2,038.63/x
  3. Step 3: Cross multiply
    3,530.71x = 4,872.82 × 2,038.63
  4. Step 4: Simplify right side
    3,530.71x = 9,933,848.57
  5. Step 5: Solve for x
    x = 9,933,848.57/3,530.71
  6. Step 6: Final answer
    x = 2,813.55

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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.