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Finding the Fourth Proportional to 3,217.83, 4,827.06 and 1,026.03

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Solution

The fourth proportional to 3,217.83, 4,827.06 and 1,026.03 is: 1,539.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,217.83 : 4,827.06 = 1,026.03 : x
  2. Step 2: Convert to fraction form
    3,217.83/4,827.06 = 1,026.03/x
  3. Step 3: Cross multiply
    3,217.83x = 4,827.06 × 1,026.03
  4. Step 4: Simplify right side
    3,217.83x = 4,952,726.47
  5. Step 5: Solve for x
    x = 4,952,726.47/3,217.83
  6. Step 6: Final answer
    x = 1,539.15

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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.