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Finding the Fourth Proportional to 5,632.76, 7,776.16 and 3,538.10

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Solution

The fourth proportional to 5,632.76, 7,776.16 and 3,538.10 is: 4,884.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,632.76 : 7,776.16 = 3,538.10 : x
  2. Step 2: Convert to fraction form
    5,632.76/7,776.16 = 3,538.10/x
  3. Step 3: Cross multiply
    5,632.76x = 7,776.16 × 3,538.10
  4. Step 4: Simplify right side
    5,632.76x = 27,512,831.70
  5. Step 5: Solve for x
    x = 27,512,831.70/5,632.76
  6. Step 6: Final answer
    x = 4,884.43

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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.