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Finding the Fourth Proportional to 4,641.36, 6,398.64 and 3,700.32

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Solution

The fourth proportional to 4,641.36, 6,398.64 and 3,700.32 is: 5,101.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.36 : 6,398.64 = 3,700.32 : x
  2. Step 2: Convert to fraction form
    4,641.36/6,398.64 = 3,700.32/x
  3. Step 3: Cross multiply
    4,641.36x = 6,398.64 × 3,700.32
  4. Step 4: Simplify right side
    4,641.36x = 23,677,015.56
  5. Step 5: Solve for x
    x = 23,677,015.56/4,641.36
  6. Step 6: Final answer
    x = 5,101.31

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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.