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Finding the Fourth Proportional to 4,741.76, 7,106.87 and 3,355.50

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Solution

The fourth proportional to 4,741.76, 7,106.87 and 3,355.50 is: 5,029.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,741.76 : 7,106.87 = 3,355.50 : x
  2. Step 2: Convert to fraction form
    4,741.76/7,106.87 = 3,355.50/x
  3. Step 3: Cross multiply
    4,741.76x = 7,106.87 × 3,355.50
  4. Step 4: Simplify right side
    4,741.76x = 23,847,102.29
  5. Step 5: Solve for x
    x = 23,847,102.29/4,741.76
  6. Step 6: Final answer
    x = 5,029.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.