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Finding the Fourth Proportional to 3,530.18, 4,871.22 and 2,017.82

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Solution

The fourth proportional to 3,530.18, 4,871.22 and 2,017.82 is: 2,784.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.18 : 4,871.22 = 2,017.82 : x
  2. Step 2: Convert to fraction form
    3,530.18/4,871.22 = 2,017.82/x
  3. Step 3: Cross multiply
    3,530.18x = 4,871.22 × 2,017.82
  4. Step 4: Simplify right side
    3,530.18x = 9,829,245.14
  5. Step 5: Solve for x
    x = 9,829,245.14/3,530.18
  6. Step 6: Final answer
    x = 2,784.35

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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.