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Finding the Fourth Proportional to 4,731.06, 6,543 and 4,140.60

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Solution

The fourth proportional to 4,731.06, 6,543 and 4,140.60 is: 5,726.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,731.06 : 6,543 = 4,140.60 : x
  2. Step 2: Convert to fraction form
    4,731.06/6,543 = 4,140.60/x
  3. Step 3: Cross multiply
    4,731.06x = 6,543 × 4,140.60
  4. Step 4: Simplify right side
    4,731.06x = 27,091,945.80
  5. Step 5: Solve for x
    x = 27,091,945.80/4,731.06
  6. Step 6: Final answer
    x = 5,726.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.