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Finding the Fourth Proportional to 3,490.02, 5,235.03 and 2,192.40

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Solution

The fourth proportional to 3,490.02, 5,235.03 and 2,192.40 is: 3,288.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.02 : 5,235.03 = 2,192.40 : x
  2. Step 2: Convert to fraction form
    3,490.02/5,235.03 = 2,192.40/x
  3. Step 3: Cross multiply
    3,490.02x = 5,235.03 × 2,192.40
  4. Step 4: Simplify right side
    3,490.02x = 11,477,279.77
  5. Step 5: Solve for x
    x = 11,477,279.77/3,490.02
  6. Step 6: Final answer
    x = 3,288.60

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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.