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Finding the Fourth Proportional to 4,832.19, 7,248.64 and 1,500.00

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Solution

The fourth proportional to 4,832.19, 7,248.64 and 1,500.00 is: 2,250.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,832.19 : 7,248.64 = 1,500.00 : x
  2. Step 2: Convert to fraction form
    4,832.19/7,248.64 = 1,500.00/x
  3. Step 3: Cross multiply
    4,832.19x = 7,248.64 × 1,500.00
  4. Step 4: Simplify right side
    4,832.19x = 10,872,972.65
  5. Step 5: Solve for x
    x = 10,872,972.65/4,832.19
  6. Step 6: Final answer
    x = 2,250.11

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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.