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Finding the Fourth Proportional to 3,835.06, 5,752.83 and 1,526.50

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Solution

The fourth proportional to 3,835.06, 5,752.83 and 1,526.50 is: 2,289.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835.06 : 5,752.83 = 1,526.50 : x
  2. Step 2: Convert to fraction form
    3,835.06/5,752.83 = 1,526.50/x
  3. Step 3: Cross multiply
    3,835.06x = 5,752.83 × 1,526.50
  4. Step 4: Simplify right side
    3,835.06x = 8,781,695.00
  5. Step 5: Solve for x
    x = 8,781,695.00/3,835.06
  6. Step 6: Final answer
    x = 2,289.85

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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.