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Finding the Fourth Proportional to 5,884.57, 8,110.95 and 5,728.75

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Solution

The fourth proportional to 5,884.57, 8,110.95 and 5,728.75 is: 7,896.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,884.57 : 8,110.95 = 5,728.75 : x
  2. Step 2: Convert to fraction form
    5,884.57/8,110.95 = 5,728.75/x
  3. Step 3: Cross multiply
    5,884.57x = 8,110.95 × 5,728.75
  4. Step 4: Simplify right side
    5,884.57x = 46,465,547.84
  5. Step 5: Solve for x
    x = 46,465,547.84/5,884.57
  6. Step 6: Final answer
    x = 7,896.17

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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.