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Finding the Fourth Proportional to 4,932.06, 7,427.63 and 4,156.89

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Solution

The fourth proportional to 4,932.06, 7,427.63 and 4,156.89 is: 6,260.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,932.06 : 7,427.63 = 4,156.89 : x
  2. Step 2: Convert to fraction form
    4,932.06/7,427.63 = 4,156.89/x
  3. Step 3: Cross multiply
    4,932.06x = 7,427.63 × 4,156.89
  4. Step 4: Simplify right side
    4,932.06x = 30,875,840.87
  5. Step 5: Solve for x
    x = 30,875,840.87/4,932.06
  6. Step 6: Final answer
    x = 6,260.23

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.