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Finding the Fourth Proportional to 4,477.82, 6,711.66 and 2,281.91

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Solution

The fourth proportional to 4,477.82, 6,711.66 and 2,281.91 is: 3,420.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,477.82 : 6,711.66 = 2,281.91 : x
  2. Step 2: Convert to fraction form
    4,477.82/6,711.66 = 2,281.91/x
  3. Step 3: Cross multiply
    4,477.82x = 6,711.66 × 2,281.91
  4. Step 4: Simplify right side
    4,477.82x = 15,315,370.51
  5. Step 5: Solve for x
    x = 15,315,370.51/4,477.82
  6. Step 6: Final answer
    x = 3,420.28

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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.