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Finding the Fourth Proportional to 6,590.52, 9,095.76 and 3,796.02

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Solution

The fourth proportional to 6,590.52, 9,095.76 and 3,796.02 is: 5,238.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,590.52 : 9,095.76 = 3,796.02 : x
  2. Step 2: Convert to fraction form
    6,590.52/9,095.76 = 3,796.02/x
  3. Step 3: Cross multiply
    6,590.52x = 9,095.76 × 3,796.02
  4. Step 4: Simplify right side
    6,590.52x = 34,527,686.88
  5. Step 5: Solve for x
    x = 34,527,686.88/6,590.52
  6. Step 6: Final answer
    x = 5,238.99

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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.