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Finding the Fourth Proportional to 3,530.76, 4,871.26 and 2,203.98

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Solution

The fourth proportional to 3,530.76, 4,871.26 and 2,203.98 is: 3,040.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.76 : 4,871.26 = 2,203.98 : x
  2. Step 2: Convert to fraction form
    3,530.76/4,871.26 = 2,203.98/x
  3. Step 3: Cross multiply
    3,530.76x = 4,871.26 × 2,203.98
  4. Step 4: Simplify right side
    3,530.76x = 10,736,159.61
  5. Step 5: Solve for x
    x = 10,736,159.61/3,530.76
  6. Step 6: Final answer
    x = 3,040.75

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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.