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Finding the Fourth Proportional to 5,273.68, 7,911.24 and 1,810

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Solution

The fourth proportional to 5,273.68, 7,911.24 and 1,810 is: 2,715.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,273.68 : 7,911.24 = 1,810 : x
  2. Step 2: Convert to fraction form
    5,273.68/7,911.24 = 1,810/x
  3. Step 3: Cross multiply
    5,273.68x = 7,911.24 × 1,810
  4. Step 4: Simplify right side
    5,273.68x = 14,319,344.40
  5. Step 5: Solve for x
    x = 14,319,344.40/5,273.68
  6. Step 6: Final answer
    x = 2,715.25

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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.