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Finding the Fourth Proportional to 5,647.35, 7,795.02 and 3,658.03

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Solution

The fourth proportional to 5,647.35, 7,795.02 and 3,658.03 is: 5,049.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,647.35 : 7,795.02 = 3,658.03 : x
  2. Step 2: Convert to fraction form
    5,647.35/7,795.02 = 3,658.03/x
  3. Step 3: Cross multiply
    5,647.35x = 7,795.02 × 3,658.03
  4. Step 4: Simplify right side
    5,647.35x = 28,514,417.01
  5. Step 5: Solve for x
    x = 28,514,417.01/5,647.35
  6. Step 6: Final answer
    x = 5,049.17

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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.