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Finding the Fourth Proportional to 5,895.54, 8,142.93 and 5,119.29

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Solution

The fourth proportional to 5,895.54, 8,142.93 and 5,119.29 is: 7,070.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,895.54 : 8,142.93 = 5,119.29 : x
  2. Step 2: Convert to fraction form
    5,895.54/8,142.93 = 5,119.29/x
  3. Step 3: Cross multiply
    5,895.54x = 8,142.93 × 5,119.29
  4. Step 4: Simplify right side
    5,895.54x = 41,686,020.12
  5. Step 5: Solve for x
    x = 41,686,020.12/5,895.54
  6. Step 6: Final answer
    x = 7,070.77

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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.