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Finding the Fourth Proportional to 3,726.17, 5,590.62 and 1,535.09

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Solution

The fourth proportional to 3,726.17, 5,590.62 and 1,535.09 is: 2,303.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,726.17 : 5,590.62 = 1,535.09 : x
  2. Step 2: Convert to fraction form
    3,726.17/5,590.62 = 1,535.09/x
  3. Step 3: Cross multiply
    3,726.17x = 5,590.62 × 1,535.09
  4. Step 4: Simplify right side
    3,726.17x = 8,582,076.90
  5. Step 5: Solve for x
    x = 8,582,076.90/3,726.17
  6. Step 6: Final answer
    x = 2,303.19

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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.