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Finding the Fourth Proportional to 4,927.74, 7,387.76 and 2,461.32

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Solution

The fourth proportional to 4,927.74, 7,387.76 and 2,461.32 is: 3,690.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,927.74 : 7,387.76 = 2,461.32 : x
  2. Step 2: Convert to fraction form
    4,927.74/7,387.76 = 2,461.32/x
  3. Step 3: Cross multiply
    4,927.74x = 7,387.76 × 2,461.32
  4. Step 4: Simplify right side
    4,927.74x = 18,183,641.44
  5. Step 5: Solve for x
    x = 18,183,641.44/4,927.74
  6. Step 6: Final answer
    x = 3,690.06

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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.