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Finding the Fourth Proportional to 4,051.05, 5,582.11 and 3,106.80

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Solution

The fourth proportional to 4,051.05, 5,582.11 and 3,106.80 is: 4,280.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,051.05 : 5,582.11 = 3,106.80 : x
  2. Step 2: Convert to fraction form
    4,051.05/5,582.11 = 3,106.80/x
  3. Step 3: Cross multiply
    4,051.05x = 5,582.11 × 3,106.80
  4. Step 4: Simplify right side
    4,051.05x = 17,342,499.35
  5. Step 5: Solve for x
    x = 17,342,499.35/4,051.05
  6. Step 6: Final answer
    x = 4,280.99

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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.