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Finding the Fourth Proportional to 5,292.90, 7,900.25 and 4,964.58

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Solution

The fourth proportional to 5,292.90, 7,900.25 and 4,964.58 is: 7,410.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,292.90 : 7,900.25 = 4,964.58 : x
  2. Step 2: Convert to fraction form
    5,292.90/7,900.25 = 4,964.58/x
  3. Step 3: Cross multiply
    5,292.90x = 7,900.25 × 4,964.58
  4. Step 4: Simplify right side
    5,292.90x = 39,221,398.32
  5. Step 5: Solve for x
    x = 39,221,398.32/5,292.90
  6. Step 6: Final answer
    x = 7,410.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.