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Finding the Fourth Proportional to 5,632.93, 7,774.37 and 3,364.57

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Solution

The fourth proportional to 5,632.93, 7,774.37 and 3,364.57 is: 4,643.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,632.93 : 7,774.37 = 3,364.57 : x
  2. Step 2: Convert to fraction form
    5,632.93/7,774.37 = 3,364.57/x
  3. Step 3: Cross multiply
    5,632.93x = 7,774.37 × 3,364.57
  4. Step 4: Simplify right side
    5,632.93x = 26,157,412.07
  5. Step 5: Solve for x
    x = 26,157,412.07/5,632.93
  6. Step 6: Final answer
    x = 4,643.66

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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.