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Finding the Fourth Proportional to 5,783.31, 7,980.97 and 3,130.74

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Solution

The fourth proportional to 5,783.31, 7,980.97 and 3,130.74 is: 4,320.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783.31 : 7,980.97 = 3,130.74 : x
  2. Step 2: Convert to fraction form
    5,783.31/7,980.97 = 3,130.74/x
  3. Step 3: Cross multiply
    5,783.31x = 7,980.97 × 3,130.74
  4. Step 4: Simplify right side
    5,783.31x = 24,986,342.02
  5. Step 5: Solve for x
    x = 24,986,342.02/5,783.31
  6. Step 6: Final answer
    x = 4,320.42

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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.