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Finding the Fourth Proportional to 3,512.00, 5,263.32 and 1,865.00

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Solution

The fourth proportional to 3,512.00, 5,263.32 and 1,865.00 is: 2,795.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.00 : 5,263.32 = 1,865.00 : x
  2. Step 2: Convert to fraction form
    3,512.00/5,263.32 = 1,865.00/x
  3. Step 3: Cross multiply
    3,512.00x = 5,263.32 × 1,865.00
  4. Step 4: Simplify right side
    3,512.00x = 9,816,065.48
  5. Step 5: Solve for x
    x = 9,816,065.48/3,512.00
  6. Step 6: Final answer
    x = 2,795.01

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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.