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Finding the Fourth Proportional to 5,253.21, 7,252.43 and 3,465.88

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Solution

The fourth proportional to 5,253.21, 7,252.43 and 3,465.88 is: 4,784.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,253.21 : 7,252.43 = 3,465.88 : x
  2. Step 2: Convert to fraction form
    5,253.21/7,252.43 = 3,465.88/x
  3. Step 3: Cross multiply
    5,253.21x = 7,252.43 × 3,465.88
  4. Step 4: Simplify right side
    5,253.21x = 25,136,016.63
  5. Step 5: Solve for x
    x = 25,136,016.63/5,253.21
  6. Step 6: Final answer
    x = 4,784.89

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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.