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Finding the Fourth Proportional to 3,501.96, 4,832.12 and 2,177.46

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Solution

The fourth proportional to 3,501.96, 4,832.12 and 2,177.46 is: 3,004.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,501.96 : 4,832.12 = 2,177.46 : x
  2. Step 2: Convert to fraction form
    3,501.96/4,832.12 = 2,177.46/x
  3. Step 3: Cross multiply
    3,501.96x = 4,832.12 × 2,177.46
  4. Step 4: Simplify right side
    3,501.96x = 10,521,748.02
  5. Step 5: Solve for x
    x = 10,521,748.02/3,501.96
  6. Step 6: Final answer
    x = 3,004.53

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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.