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Finding the Fourth Proportional to 4,451.16, 6,678.18 and 3,135

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Solution

The fourth proportional to 4,451.16, 6,678.18 and 3,135 is: 4,703.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,451.16 : 6,678.18 = 3,135 : x
  2. Step 2: Convert to fraction form
    4,451.16/6,678.18 = 3,135/x
  3. Step 3: Cross multiply
    4,451.16x = 6,678.18 × 3,135
  4. Step 4: Simplify right side
    4,451.16x = 20,936,094.30
  5. Step 5: Solve for x
    x = 20,936,094.30/4,451.16
  6. Step 6: Final answer
    x = 4,703.51

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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.