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Finding the Fourth Proportional to 5,728.56, 7,901.37 and 4,875.63

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Solution

The fourth proportional to 5,728.56, 7,901.37 and 4,875.63 is: 6,724.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.56 : 7,901.37 = 4,875.63 : x
  2. Step 2: Convert to fraction form
    5,728.56/7,901.37 = 4,875.63/x
  3. Step 3: Cross multiply
    5,728.56x = 7,901.37 × 4,875.63
  4. Step 4: Simplify right side
    5,728.56x = 38,524,156.61
  5. Step 5: Solve for x
    x = 38,524,156.61/5,728.56
  6. Step 6: Final answer
    x = 6,724.93

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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.