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Finding the Fourth Proportional to 4,990.37, 7,457.97 and 4,702.31

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Solution

The fourth proportional to 4,990.37, 7,457.97 and 4,702.31 is: 7,027.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,990.37 : 7,457.97 = 4,702.31 : x
  2. Step 2: Convert to fraction form
    4,990.37/7,457.97 = 4,702.31/x
  3. Step 3: Cross multiply
    4,990.37x = 7,457.97 × 4,702.31
  4. Step 4: Simplify right side
    4,990.37x = 35,069,649.62
  5. Step 5: Solve for x
    x = 35,069,649.62/4,990.37
  6. Step 6: Final answer
    x = 7,027.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.