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Finding the Fourth Proportional to 5,256.14, 7,253.50 and 2,898.28

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Solution

The fourth proportional to 5,256.14, 7,253.50 and 2,898.28 is: 3,999.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,256.14 : 7,253.50 = 2,898.28 : x
  2. Step 2: Convert to fraction form
    5,256.14/7,253.50 = 2,898.28/x
  3. Step 3: Cross multiply
    5,256.14x = 7,253.50 × 2,898.28
  4. Step 4: Simplify right side
    5,256.14x = 21,022,681.24
  5. Step 5: Solve for x
    x = 21,022,681.24/5,256.14
  6. Step 6: Final answer
    x = 3,999.64

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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.