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Finding the Fourth Proportional to 5,300.94, 7,951.40 and 1,835.76

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Solution

The fourth proportional to 5,300.94, 7,951.40 and 1,835.76 is: 2,753.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.94 : 7,951.40 = 1,835.76 : x
  2. Step 2: Convert to fraction form
    5,300.94/7,951.40 = 1,835.76/x
  3. Step 3: Cross multiply
    5,300.94x = 7,951.40 × 1,835.76
  4. Step 4: Simplify right side
    5,300.94x = 14,596,862.06
  5. Step 5: Solve for x
    x = 14,596,862.06/5,300.94
  6. Step 6: Final answer
    x = 2,753.64

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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.