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Finding the Fourth Proportional to 5,225.64, 7,833.50 and 1,937.88

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Solution

The fourth proportional to 5,225.64, 7,833.50 and 1,937.88 is: 2,904.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,225.64 : 7,833.50 = 1,937.88 : x
  2. Step 2: Convert to fraction form
    5,225.64/7,833.50 = 1,937.88/x
  3. Step 3: Cross multiply
    5,225.64x = 7,833.50 × 1,937.88
  4. Step 4: Simplify right side
    5,225.64x = 15,180,382.98
  5. Step 5: Solve for x
    x = 15,180,382.98/5,225.64
  6. Step 6: Final answer
    x = 2,904.98

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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.