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Finding the Fourth Proportional to 5,798.40, 7,994.24 and 3,932.16

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Solution

The fourth proportional to 5,798.40, 7,994.24 and 3,932.16 is: 5,421.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.40 : 7,994.24 = 3,932.16 : x
  2. Step 2: Convert to fraction form
    5,798.40/7,994.24 = 3,932.16/x
  3. Step 3: Cross multiply
    5,798.40x = 7,994.24 × 3,932.16
  4. Step 4: Simplify right side
    5,798.40x = 31,434,630.76
  5. Step 5: Solve for x
    x = 31,434,630.76/5,798.40
  6. Step 6: Final answer
    x = 5,421.26

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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.