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Finding the Fourth Proportional to 4,672.29, 7,009.70 and 1,552.80

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Solution

The fourth proportional to 4,672.29, 7,009.70 and 1,552.80 is: 2,329.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.29 : 7,009.70 = 1,552.80 : x
  2. Step 2: Convert to fraction form
    4,672.29/7,009.70 = 1,552.80/x
  3. Step 3: Cross multiply
    4,672.29x = 7,009.70 × 1,552.80
  4. Step 4: Simplify right side
    4,672.29x = 10,884,654.40
  5. Step 5: Solve for x
    x = 10,884,654.40/4,672.29
  6. Step 6: Final answer
    x = 2,329.62

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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.