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Finding the Fourth Proportional to 4,577.69, 6,866.82 and 1,291.07

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Solution

The fourth proportional to 4,577.69, 6,866.82 and 1,291.07 is: 1,936.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,577.69 : 6,866.82 = 1,291.07 : x
  2. Step 2: Convert to fraction form
    4,577.69/6,866.82 = 1,291.07/x
  3. Step 3: Cross multiply
    4,577.69x = 6,866.82 × 1,291.07
  4. Step 4: Simplify right side
    4,577.69x = 8,865,562.46
  5. Step 5: Solve for x
    x = 8,865,562.46/4,577.69
  6. Step 6: Final answer
    x = 1,936.69

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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.