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Finding the Fourth Proportional to 4,664.02, 6,991.10 and 1,543.23

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Solution

The fourth proportional to 4,664.02, 6,991.10 and 1,543.23 is: 2,313.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,664.02 : 6,991.10 = 1,543.23 : x
  2. Step 2: Convert to fraction form
    4,664.02/6,991.10 = 1,543.23/x
  3. Step 3: Cross multiply
    4,664.02x = 6,991.10 × 1,543.23
  4. Step 4: Simplify right side
    4,664.02x = 10,788,875.25
  5. Step 5: Solve for x
    x = 10,788,875.25/4,664.02
  6. Step 6: Final answer
    x = 2,313.21

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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.