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Finding the Fourth Proportional to 5,003.32, 6,903.62 and 3,014

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Solution

The fourth proportional to 5,003.32, 6,903.62 and 3,014 is: 4,158.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,003.32 : 6,903.62 = 3,014 : x
  2. Step 2: Convert to fraction form
    5,003.32/6,903.62 = 3,014/x
  3. Step 3: Cross multiply
    5,003.32x = 6,903.62 × 3,014
  4. Step 4: Simplify right side
    5,003.32x = 20,807,510.68
  5. Step 5: Solve for x
    x = 20,807,510.68/5,003.32
  6. Step 6: Final answer
    x = 4,158.74

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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.