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Finding the Fourth Proportional to 4,952.07, 7,423.38 and 1,663.47

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Solution

The fourth proportional to 4,952.07, 7,423.38 and 1,663.47 is: 2,493.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.07 : 7,423.38 = 1,663.47 : x
  2. Step 2: Convert to fraction form
    4,952.07/7,423.38 = 1,663.47/x
  3. Step 3: Cross multiply
    4,952.07x = 7,423.38 × 1,663.47
  4. Step 4: Simplify right side
    4,952.07x = 12,348,569.93
  5. Step 5: Solve for x
    x = 12,348,569.93/4,952.07
  6. Step 6: Final answer
    x = 2,493.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.