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Finding the Fourth Proportional to 4,945.68, 6,821.64 and 3,529.20

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Solution

The fourth proportional to 4,945.68, 6,821.64 and 3,529.20 is: 4,867.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,945.68 : 6,821.64 = 3,529.20 : x
  2. Step 2: Convert to fraction form
    4,945.68/6,821.64 = 3,529.20/x
  3. Step 3: Cross multiply
    4,945.68x = 6,821.64 × 3,529.20
  4. Step 4: Simplify right side
    4,945.68x = 24,074,931.89
  5. Step 5: Solve for x
    x = 24,074,931.89/4,945.68
  6. Step 6: Final answer
    x = 4,867.87

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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.