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Finding the Fourth Proportional to 5,268.99, 7,897.49 and 1,758.17

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Solution

The fourth proportional to 5,268.99, 7,897.49 and 1,758.17 is: 2,635.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,268.99 : 7,897.49 = 1,758.17 : x
  2. Step 2: Convert to fraction form
    5,268.99/7,897.49 = 1,758.17/x
  3. Step 3: Cross multiply
    5,268.99x = 7,897.49 × 1,758.17
  4. Step 4: Simplify right side
    5,268.99x = 13,885,140.95
  5. Step 5: Solve for x
    x = 13,885,140.95/5,268.99
  6. Step 6: Final answer
    x = 2,635.26

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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.