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Finding the Fourth Proportional to 4,476.76, 6,682.28 and 4,146.89

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Solution

The fourth proportional to 4,476.76, 6,682.28 and 4,146.89 is: 6,189.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,476.76 : 6,682.28 = 4,146.89 : x
  2. Step 2: Convert to fraction form
    4,476.76/6,682.28 = 4,146.89/x
  3. Step 3: Cross multiply
    4,476.76x = 6,682.28 × 4,146.89
  4. Step 4: Simplify right side
    4,476.76x = 27,710,698.54
  5. Step 5: Solve for x
    x = 27,710,698.54/4,476.76
  6. Step 6: Final answer
    x = 6,189.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.