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Finding the Fourth Proportional to 3,457.52, 4,772.24 and 2,060

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Solution

The fourth proportional to 3,457.52, 4,772.24 and 2,060 is: 2,843.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.52 : 4,772.24 = 2,060 : x
  2. Step 2: Convert to fraction form
    3,457.52/4,772.24 = 2,060/x
  3. Step 3: Cross multiply
    3,457.52x = 4,772.24 × 2,060
  4. Step 4: Simplify right side
    3,457.52x = 9,830,814.40
  5. Step 5: Solve for x
    x = 9,830,814.40/3,457.52
  6. Step 6: Final answer
    x = 2,843.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.