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Finding the Fourth Proportional to 5,296.32, 7,946.64 and 2,373.84

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Solution

The fourth proportional to 5,296.32, 7,946.64 and 2,373.84 is: 3,561.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.32 : 7,946.64 = 2,373.84 : x
  2. Step 2: Convert to fraction form
    5,296.32/7,946.64 = 2,373.84/x
  3. Step 3: Cross multiply
    5,296.32x = 7,946.64 × 2,373.84
  4. Step 4: Simplify right side
    5,296.32x = 18,864,051.90
  5. Step 5: Solve for x
    x = 18,864,051.90/5,296.32
  6. Step 6: Final answer
    x = 3,561.73

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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.