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Finding the Fourth Proportional to 4,967.80, 7,451.47 and 1,457.66

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Solution

The fourth proportional to 4,967.80, 7,451.47 and 1,457.66 is: 2,186.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.80 : 7,451.47 = 1,457.66 : x
  2. Step 2: Convert to fraction form
    4,967.80/7,451.47 = 1,457.66/x
  3. Step 3: Cross multiply
    4,967.80x = 7,451.47 × 1,457.66
  4. Step 4: Simplify right side
    4,967.80x = 10,861,726.11
  5. Step 5: Solve for x
    x = 10,861,726.11/4,967.80
  6. Step 6: Final answer
    x = 2,186.43

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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.