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Finding the Fourth Proportional to 4,174.56, 5,752.56 and 3,389.28

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Solution

The fourth proportional to 4,174.56, 5,752.56 and 3,389.28 is: 4,670.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174.56 : 5,752.56 = 3,389.28 : x
  2. Step 2: Convert to fraction form
    4,174.56/5,752.56 = 3,389.28/x
  3. Step 3: Cross multiply
    4,174.56x = 5,752.56 × 3,389.28
  4. Step 4: Simplify right side
    4,174.56x = 19,497,036.56
  5. Step 5: Solve for x
    x = 19,497,036.56/4,174.56
  6. Step 6: Final answer
    x = 4,670.44

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1.5x scale

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.