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Finding the Fourth Proportional to 3,484.56, 4,796.16 and 3,152.28

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Solution

The fourth proportional to 3,484.56, 4,796.16 and 3,152.28 is: 4,338.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.56 : 4,796.16 = 3,152.28 : x
  2. Step 2: Convert to fraction form
    3,484.56/4,796.16 = 3,152.28/x
  3. Step 3: Cross multiply
    3,484.56x = 4,796.16 × 3,152.28
  4. Step 4: Simplify right side
    3,484.56x = 15,118,839.24
  5. Step 5: Solve for x
    x = 15,118,839.24/3,484.56
  6. Step 6: Final answer
    x = 4,338.81

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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.