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Finding the Fourth Proportional to 4,714.77, 6,504.15 and 3,224.76

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Solution

The fourth proportional to 4,714.77, 6,504.15 and 3,224.76 is: 4,448.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.77 : 6,504.15 = 3,224.76 : x
  2. Step 2: Convert to fraction form
    4,714.77/6,504.15 = 3,224.76/x
  3. Step 3: Cross multiply
    4,714.77x = 6,504.15 × 3,224.76
  4. Step 4: Simplify right side
    4,714.77x = 20,974,322.75
  5. Step 5: Solve for x
    x = 20,974,322.75/4,714.77
  6. Step 6: Final answer
    x = 4,448.64

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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.