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Finding the Fourth Proportional to 4,543.47, 6,813.27 and 1,731.83

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Solution

The fourth proportional to 4,543.47, 6,813.27 and 1,731.83 is: 2,597.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,543.47 : 6,813.27 = 1,731.83 : x
  2. Step 2: Convert to fraction form
    4,543.47/6,813.27 = 1,731.83/x
  3. Step 3: Cross multiply
    4,543.47x = 6,813.27 × 1,731.83
  4. Step 4: Simplify right side
    4,543.47x = 11,799,391.32
  5. Step 5: Solve for x
    x = 11,799,391.32/4,543.47
  6. Step 6: Final answer
    x = 2,597.00

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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.