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Finding the Fourth Proportional to 5,272.98, 7,909.46 and 4,952.22

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Solution

The fourth proportional to 5,272.98, 7,909.46 and 4,952.22 is: 7,428.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,272.98 : 7,909.46 = 4,952.22 : x
  2. Step 2: Convert to fraction form
    5,272.98/7,909.46 = 4,952.22/x
  3. Step 3: Cross multiply
    5,272.98x = 7,909.46 × 4,952.22
  4. Step 4: Simplify right side
    5,272.98x = 39,169,386.00
  5. Step 5: Solve for x
    x = 39,169,386.00/5,272.98
  6. Step 6: Final answer
    x = 7,428.32

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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.