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Finding the Fourth Proportional to 5,842.50, 8,772.64 and 5,653.19

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Solution

The fourth proportional to 5,842.50, 8,772.64 and 5,653.19 is: 8,488.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.50 : 8,772.64 = 5,653.19 : x
  2. Step 2: Convert to fraction form
    5,842.50/8,772.64 = 5,653.19/x
  3. Step 3: Cross multiply
    5,842.50x = 8,772.64 × 5,653.19
  4. Step 4: Simplify right side
    5,842.50x = 49,593,400.72
  5. Step 5: Solve for x
    x = 49,593,400.72/5,842.50
  6. Step 6: Final answer
    x = 8,488.39

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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.