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Finding the Fourth Proportional to 4,700.29, 7,053.86 and 3,786.88

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Solution

The fourth proportional to 4,700.29, 7,053.86 and 3,786.88 is: 5,683.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700.29 : 7,053.86 = 3,786.88 : x
  2. Step 2: Convert to fraction form
    4,700.29/7,053.86 = 3,786.88/x
  3. Step 3: Cross multiply
    4,700.29x = 7,053.86 × 3,786.88
  4. Step 4: Simplify right side
    4,700.29x = 26,712,121.36
  5. Step 5: Solve for x
    x = 26,712,121.36/4,700.29
  6. Step 6: Final answer
    x = 5,683.08

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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.