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Finding the Fourth Proportional to 3,678.68, 5,518.13 and 2,296.01

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Solution

The fourth proportional to 3,678.68, 5,518.13 and 2,296.01 is: 3,444.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.68 : 5,518.13 = 2,296.01 : x
  2. Step 2: Convert to fraction form
    3,678.68/5,518.13 = 2,296.01/x
  3. Step 3: Cross multiply
    3,678.68x = 5,518.13 × 2,296.01
  4. Step 4: Simplify right side
    3,678.68x = 12,669,683.98
  5. Step 5: Solve for x
    x = 12,669,683.98/3,678.68
  6. Step 6: Final answer
    x = 3,444.08

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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.