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Finding the Fourth Proportional to 4,664.64, 6,436.64 and 3,008.32

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Solution

The fourth proportional to 4,664.64, 6,436.64 and 3,008.32 is: 4,151.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,664.64 : 6,436.64 = 3,008.32 : x
  2. Step 2: Convert to fraction form
    4,664.64/6,436.64 = 3,008.32/x
  3. Step 3: Cross multiply
    4,664.64x = 6,436.64 × 3,008.32
  4. Step 4: Simplify right side
    4,664.64x = 19,363,472.84
  5. Step 5: Solve for x
    x = 19,363,472.84/4,664.64
  6. Step 6: Final answer
    x = 4,151.12

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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.