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Finding the Fourth Proportional to 6,480.48, 8,943.84 and 3,686.88

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Solution

The fourth proportional to 6,480.48, 8,943.84 and 3,686.88 is: 5,088.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,480.48 : 8,943.84 = 3,686.88 : x
  2. Step 2: Convert to fraction form
    6,480.48/8,943.84 = 3,686.88/x
  3. Step 3: Cross multiply
    6,480.48x = 8,943.84 × 3,686.88
  4. Step 4: Simplify right side
    6,480.48x = 32,974,864.82
  5. Step 5: Solve for x
    x = 32,974,864.82/6,480.48
  6. Step 6: Final answer
    x = 5,088.34

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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.