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Finding the Fourth Proportional to 5,256.48, 7,254 and 2,898.80

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Solution

The fourth proportional to 5,256.48, 7,254 and 2,898.80 is: 4,000.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,256.48 : 7,254 = 2,898.80 : x
  2. Step 2: Convert to fraction form
    5,256.48/7,254 = 2,898.80/x
  3. Step 3: Cross multiply
    5,256.48x = 7,254 × 2,898.80
  4. Step 4: Simplify right side
    5,256.48x = 21,027,895.20
  5. Step 5: Solve for x
    x = 21,027,895.20/5,256.48
  6. Step 6: Final answer
    x = 4,000.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.