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Finding the Fourth Proportional to 3,407.41, 4,703.82 and 2,289.14

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Solution

The fourth proportional to 3,407.41, 4,703.82 and 2,289.14 is: 3,160.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.41 : 4,703.82 = 2,289.14 : x
  2. Step 2: Convert to fraction form
    3,407.41/4,703.82 = 2,289.14/x
  3. Step 3: Cross multiply
    3,407.41x = 4,703.82 × 2,289.14
  4. Step 4: Simplify right side
    3,407.41x = 10,767,679.00
  5. Step 5: Solve for x
    x = 10,767,679.00/3,407.41
  6. Step 6: Final answer
    x = 3,160.08

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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.