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Finding the Fourth Proportional to 3,530.52, 5,290.38 and 2,798.28

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Solution

The fourth proportional to 3,530.52, 5,290.38 and 2,798.28 is: 4,193.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530.52 : 5,290.38 = 2,798.28 : x
  2. Step 2: Convert to fraction form
    3,530.52/5,290.38 = 2,798.28/x
  3. Step 3: Cross multiply
    3,530.52x = 5,290.38 × 2,798.28
  4. Step 4: Simplify right side
    3,530.52x = 14,803,964.55
  5. Step 5: Solve for x
    x = 14,803,964.55/3,530.52
  6. Step 6: Final answer
    x = 4,193.14

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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.