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Finding the Fourth Proportional to 5,054.64, 6,979.64 and 3,564.24

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Solution

The fourth proportional to 5,054.64, 6,979.64 and 3,564.24 is: 4,921.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,054.64 : 6,979.64 = 3,564.24 : x
  2. Step 2: Convert to fraction form
    5,054.64/6,979.64 = 3,564.24/x
  3. Step 3: Cross multiply
    5,054.64x = 6,979.64 × 3,564.24
  4. Step 4: Simplify right side
    5,054.64x = 24,877,112.07
  5. Step 5: Solve for x
    x = 24,877,112.07/5,054.64
  6. Step 6: Final answer
    x = 4,921.64

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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.