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Finding the Fourth Proportional to 5,798.31, 8,057.18 and 5,738.10

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Solution

The fourth proportional to 5,798.31, 8,057.18 and 5,738.10 is: 7,973.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.31 : 8,057.18 = 5,738.10 : x
  2. Step 2: Convert to fraction form
    5,798.31/8,057.18 = 5,738.10/x
  3. Step 3: Cross multiply
    5,798.31x = 8,057.18 × 5,738.10
  4. Step 4: Simplify right side
    5,798.31x = 46,232,875.87
  5. Step 5: Solve for x
    x = 46,232,875.87/5,798.31
  6. Step 6: Final answer
    x = 7,973.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.