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Finding the Fourth Proportional to 4,476.47, 6,709.14 and 3,743.82

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Solution

The fourth proportional to 4,476.47, 6,709.14 and 3,743.82 is: 5,611.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,476.47 : 6,709.14 = 3,743.82 : x
  2. Step 2: Convert to fraction form
    4,476.47/6,709.14 = 3,743.82/x
  3. Step 3: Cross multiply
    4,476.47x = 6,709.14 × 3,743.82
  4. Step 4: Simplify right side
    4,476.47x = 25,117,812.51
  5. Step 5: Solve for x
    x = 25,117,812.51/4,476.47
  6. Step 6: Final answer
    x = 5,611.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.