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Finding the Fourth Proportional to 5,838.08, 8,051.98 and 3,742.40

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Solution

The fourth proportional to 5,838.08, 8,051.98 and 3,742.40 is: 5,161.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,838.08 : 8,051.98 = 3,742.40 : x
  2. Step 2: Convert to fraction form
    5,838.08/8,051.98 = 3,742.40/x
  3. Step 3: Cross multiply
    5,838.08x = 8,051.98 × 3,742.40
  4. Step 4: Simplify right side
    5,838.08x = 30,133,729.95
  5. Step 5: Solve for x
    x = 30,133,729.95/5,838.08
  6. Step 6: Final answer
    x = 5,161.58

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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.