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Finding the Fourth Proportional to 4,700.24, 7,053.90 and 3,215.91

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Solution

The fourth proportional to 4,700.24, 7,053.90 and 3,215.91 is: 4,826.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700.24 : 7,053.90 = 3,215.91 : x
  2. Step 2: Convert to fraction form
    4,700.24/7,053.90 = 3,215.91/x
  3. Step 3: Cross multiply
    4,700.24x = 7,053.90 × 3,215.91
  4. Step 4: Simplify right side
    4,700.24x = 22,684,707.55
  5. Step 5: Solve for x
    x = 22,684,707.55/4,700.24
  6. Step 6: Final answer
    x = 4,826.29

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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.