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Finding the Fourth Proportional to 4,473.71, 6,677.84 and 4,148.45

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Solution

The fourth proportional to 4,473.71, 6,677.84 and 4,148.45 is: 6,192.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,473.71 : 6,677.84 = 4,148.45 : x
  2. Step 2: Convert to fraction form
    4,473.71/6,677.84 = 4,148.45/x
  3. Step 3: Cross multiply
    4,473.71x = 6,677.84 × 4,148.45
  4. Step 4: Simplify right side
    4,473.71x = 27,702,685.35
  5. Step 5: Solve for x
    x = 27,702,685.35/4,473.71
  6. Step 6: Final answer
    x = 6,192.33

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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.