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Finding the Fourth Proportional to 4,952.08, 7,426.08 and 1,664.32

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Solution

The fourth proportional to 4,952.08, 7,426.08 and 1,664.32 is: 2,495.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.08 : 7,426.08 = 1,664.32 : x
  2. Step 2: Convert to fraction form
    4,952.08/7,426.08 = 1,664.32/x
  3. Step 3: Cross multiply
    4,952.08x = 7,426.08 × 1,664.32
  4. Step 4: Simplify right side
    4,952.08x = 12,359,373.47
  5. Step 5: Solve for x
    x = 12,359,373.47/4,952.08
  6. Step 6: Final answer
    x = 2,495.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.