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Finding the Fourth Proportional to 4,649.23, 6,416.06 and 2,524.76

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Solution

The fourth proportional to 4,649.23, 6,416.06 and 2,524.76 is: 3,484.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.23 : 6,416.06 = 2,524.76 : x
  2. Step 2: Convert to fraction form
    4,649.23/6,416.06 = 2,524.76/x
  3. Step 3: Cross multiply
    4,649.23x = 6,416.06 × 2,524.76
  4. Step 4: Simplify right side
    4,649.23x = 16,198,999.02
  5. Step 5: Solve for x
    x = 16,198,999.02/4,649.23
  6. Step 6: Final answer
    x = 3,484.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.