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Finding the Fourth Proportional to 4,998.74, 7,492.44 and 3,046.64

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Solution

The fourth proportional to 4,998.74, 7,492.44 and 3,046.64 is: 4,566.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,998.74 : 7,492.44 = 3,046.64 : x
  2. Step 2: Convert to fraction form
    4,998.74/7,492.44 = 3,046.64/x
  3. Step 3: Cross multiply
    4,998.74x = 7,492.44 × 3,046.64
  4. Step 4: Simplify right side
    4,998.74x = 22,826,767.40
  5. Step 5: Solve for x
    x = 22,826,767.40/4,998.74
  6. Step 6: Final answer
    x = 4,566.50

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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.