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Finding the Fourth Proportional to 5,307.12, 7,322.94 and 2,948.94

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Solution

The fourth proportional to 5,307.12, 7,322.94 and 2,948.94 is: 4,069.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.12 : 7,322.94 = 2,948.94 : x
  2. Step 2: Convert to fraction form
    5,307.12/7,322.94 = 2,948.94/x
  3. Step 3: Cross multiply
    5,307.12x = 7,322.94 × 2,948.94
  4. Step 4: Simplify right side
    5,307.12x = 21,594,910.68
  5. Step 5: Solve for x
    x = 21,594,910.68/5,307.12
  6. Step 6: Final answer
    x = 4,069.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.