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Finding the Fourth Proportional to 5,783.40, 7,977.30 and 4,084.40

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Solution

The fourth proportional to 5,783.40, 7,977.30 and 4,084.40 is: 5,633.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783.40 : 7,977.30 = 4,084.40 : x
  2. Step 2: Convert to fraction form
    5,783.40/7,977.30 = 4,084.40/x
  3. Step 3: Cross multiply
    5,783.40x = 7,977.30 × 4,084.40
  4. Step 4: Simplify right side
    5,783.40x = 32,582,484.12
  5. Step 5: Solve for x
    x = 32,582,484.12/5,783.40
  6. Step 6: Final answer
    x = 5,633.79

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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.