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Finding the Fourth Proportional to 3,543.09, 4,889.70 and 2,346

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Solution

The fourth proportional to 3,543.09, 4,889.70 and 2,346 is: 3,237.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.09 : 4,889.70 = 2,346 : x
  2. Step 2: Convert to fraction form
    3,543.09/4,889.70 = 2,346/x
  3. Step 3: Cross multiply
    3,543.09x = 4,889.70 × 2,346
  4. Step 4: Simplify right side
    3,543.09x = 11,471,236.20
  5. Step 5: Solve for x
    x = 11,471,236.20/3,543.09
  6. Step 6: Final answer
    x = 3,237.64

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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.