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Finding the Fourth Proportional to 4,666.63, 6,992.38 and 2,932.15

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Solution

The fourth proportional to 4,666.63, 6,992.38 and 2,932.15 is: 4,393.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.63 : 6,992.38 = 2,932.15 : x
  2. Step 2: Convert to fraction form
    4,666.63/6,992.38 = 2,932.15/x
  3. Step 3: Cross multiply
    4,666.63x = 6,992.38 × 2,932.15
  4. Step 4: Simplify right side
    4,666.63x = 20,502,707.02
  5. Step 5: Solve for x
    x = 20,502,707.02/4,666.63
  6. Step 6: Final answer
    x = 4,393.47

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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.