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Finding the Fourth Proportional to 5,632.63, 7,774.65 and 3,394.13

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Solution

The fourth proportional to 5,632.63, 7,774.65 and 3,394.13 is: 4,684.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,632.63 : 7,774.65 = 3,394.13 : x
  2. Step 2: Convert to fraction form
    5,632.63/7,774.65 = 3,394.13/x
  3. Step 3: Cross multiply
    5,632.63x = 7,774.65 × 3,394.13
  4. Step 4: Simplify right side
    5,632.63x = 26,388,133.93
  5. Step 5: Solve for x
    x = 26,388,133.93/5,632.63
  6. Step 6: Final answer
    x = 4,684.87

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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.