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Finding the Fourth Proportional to 5,632.38, 7,774.92 and 4,062.60

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Solution

The fourth proportional to 5,632.38, 7,774.92 and 4,062.60 is: 5,608.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,632.38 : 7,774.92 = 4,062.60 : x
  2. Step 2: Convert to fraction form
    5,632.38/7,774.92 = 4,062.60/x
  3. Step 3: Cross multiply
    5,632.38x = 7,774.92 × 4,062.60
  4. Step 4: Simplify right side
    5,632.38x = 31,586,389.99
  5. Step 5: Solve for x
    x = 31,586,389.99/5,632.38
  6. Step 6: Final answer
    x = 5,608.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.