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Finding the Fourth Proportional to 4,713.02, 6,504.16 and 2,824.24

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Solution

The fourth proportional to 4,713.02, 6,504.16 and 2,824.24 is: 3,897.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.02 : 6,504.16 = 2,824.24 : x
  2. Step 2: Convert to fraction form
    4,713.02/6,504.16 = 2,824.24/x
  3. Step 3: Cross multiply
    4,713.02x = 6,504.16 × 2,824.24
  4. Step 4: Simplify right side
    4,713.02x = 18,369,308.84
  5. Step 5: Solve for x
    x = 18,369,308.84/4,713.02
  6. Step 6: Final answer
    x = 3,897.57

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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.