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Finding the Fourth Proportional to 4,801.24, 7,201.87 and 1,877.50

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Solution

The fourth proportional to 4,801.24, 7,201.87 and 1,877.50 is: 2,816.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,801.24 : 7,201.87 = 1,877.50 : x
  2. Step 2: Convert to fraction form
    4,801.24/7,201.87 = 1,877.50/x
  3. Step 3: Cross multiply
    4,801.24x = 7,201.87 × 1,877.50
  4. Step 4: Simplify right side
    4,801.24x = 13,521,510.93
  5. Step 5: Solve for x
    x = 13,521,510.93/4,801.24
  6. Step 6: Final answer
    x = 2,816.25

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1.5x scale

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.