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Finding the Fourth Proportional to 5,235.20, 7,852.54 and 5,050.64

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Solution

The fourth proportional to 5,235.20, 7,852.54 and 5,050.64 is: 7,575.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235.20 : 7,852.54 = 5,050.64 : x
  2. Step 2: Convert to fraction form
    5,235.20/7,852.54 = 5,050.64/x
  3. Step 3: Cross multiply
    5,235.20x = 7,852.54 × 5,050.64
  4. Step 4: Simplify right side
    5,235.20x = 39,660,352.63
  5. Step 5: Solve for x
    x = 39,660,352.63/5,235.20
  6. Step 6: Final answer
    x = 7,575.71

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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.