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Finding the Fourth Proportional to 4,070.48, 6,106.44 and 1,472.82

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Solution

The fourth proportional to 4,070.48, 6,106.44 and 1,472.82 is: 2,209.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,070.48 : 6,106.44 = 1,472.82 : x
  2. Step 2: Convert to fraction form
    4,070.48/6,106.44 = 1,472.82/x
  3. Step 3: Cross multiply
    4,070.48x = 6,106.44 × 1,472.82
  4. Step 4: Simplify right side
    4,070.48x = 8,993,686.96
  5. Step 5: Solve for x
    x = 8,993,686.96/4,070.48
  6. Step 6: Final answer
    x = 2,209.49

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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.