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Finding the Fourth Proportional to 4,224.60, 6,334.79 and 1,302.53

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Solution

The fourth proportional to 4,224.60, 6,334.79 and 1,302.53 is: 1,953.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,224.60 : 6,334.79 = 1,302.53 : x
  2. Step 2: Convert to fraction form
    4,224.60/6,334.79 = 1,302.53/x
  3. Step 3: Cross multiply
    4,224.60x = 6,334.79 × 1,302.53
  4. Step 4: Simplify right side
    4,224.60x = 8,251,215.83
  5. Step 5: Solve for x
    x = 8,251,215.83/4,224.60
  6. Step 6: Final answer
    x = 1,953.14

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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.