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Finding the Fourth Proportional to 6,224.04, 8,589.78 and 4,649.40

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Solution

The fourth proportional to 6,224.04, 8,589.78 and 4,649.40 is: 6,416.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,224.04 : 8,589.78 = 4,649.40 : x
  2. Step 2: Convert to fraction form
    6,224.04/8,589.78 = 4,649.40/x
  3. Step 3: Cross multiply
    6,224.04x = 8,589.78 × 4,649.40
  4. Step 4: Simplify right side
    6,224.04x = 39,937,323.13
  5. Step 5: Solve for x
    x = 39,937,323.13/6,224.04
  6. Step 6: Final answer
    x = 6,416.62

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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.