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Finding the Fourth Proportional to 4,642.77, 6,957.93 and 2,669.31

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Solution

The fourth proportional to 4,642.77, 6,957.93 and 2,669.31 is: 4,000.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.77 : 6,957.93 = 2,669.31 : x
  2. Step 2: Convert to fraction form
    4,642.77/6,957.93 = 2,669.31/x
  3. Step 3: Cross multiply
    4,642.77x = 6,957.93 × 2,669.31
  4. Step 4: Simplify right side
    4,642.77x = 18,572,872.13
  5. Step 5: Solve for x
    x = 18,572,872.13/4,642.77
  6. Step 6: Final answer
    x = 4,000.39

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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.