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Finding the Fourth Proportional to 6,052.95, 8,330.31 and 5,121

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Solution

The fourth proportional to 6,052.95, 8,330.31 and 5,121 is: 7,047.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,052.95 : 8,330.31 = 5,121 : x
  2. Step 2: Convert to fraction form
    6,052.95/8,330.31 = 5,121/x
  3. Step 3: Cross multiply
    6,052.95x = 8,330.31 × 5,121
  4. Step 4: Simplify right side
    6,052.95x = 42,659,517.51
  5. Step 5: Solve for x
    x = 42,659,517.51/6,052.95
  6. Step 6: Final answer
    x = 7,047.72

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Why These Related Problems?

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