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Finding the Fourth Proportional to 4,997.74, 7,490.94 and 3,045.64

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Solution

The fourth proportional to 4,997.74, 7,490.94 and 3,045.64 is: 4,565.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,997.74 : 7,490.94 = 3,045.64 : x
  2. Step 2: Convert to fraction form
    4,997.74/7,490.94 = 3,045.64/x
  3. Step 3: Cross multiply
    4,997.74x = 7,490.94 × 3,045.64
  4. Step 4: Simplify right side
    4,997.74x = 22,814,706.50
  5. Step 5: Solve for x
    x = 22,814,706.50/4,997.74
  6. Step 6: Final answer
    x = 4,565.00

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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.