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Finding the Fourth Proportional to 3,710.22, 5,565.32 and 1,490.06

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Solution

The fourth proportional to 3,710.22, 5,565.32 and 1,490.06 is: 2,235.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.22 : 5,565.32 = 1,490.06 : x
  2. Step 2: Convert to fraction form
    3,710.22/5,565.32 = 1,490.06/x
  3. Step 3: Cross multiply
    3,710.22x = 5,565.32 × 1,490.06
  4. Step 4: Simplify right side
    3,710.22x = 8,292,660.72
  5. Step 5: Solve for x
    x = 8,292,660.72/3,710.22
  6. Step 6: Final answer
    x = 2,235.09

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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.