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Finding the Fourth Proportional to 4,927.77, 7,374.24 and 4,039.56

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Solution

The fourth proportional to 4,927.77, 7,374.24 and 4,039.56 is: 6,045.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,927.77 : 7,374.24 = 4,039.56 : x
  2. Step 2: Convert to fraction form
    4,927.77/7,374.24 = 4,039.56/x
  3. Step 3: Cross multiply
    4,927.77x = 7,374.24 × 4,039.56
  4. Step 4: Simplify right side
    4,927.77x = 29,788,684.93
  5. Step 5: Solve for x
    x = 29,788,684.93/4,927.77
  6. Step 6: Final answer
    x = 6,045.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.