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Finding the Fourth Proportional to 5,783.12, 7,984.08 and 4,454.24

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Solution

The fourth proportional to 5,783.12, 7,984.08 and 4,454.24 is: 6,149.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783.12 : 7,984.08 = 4,454.24 : x
  2. Step 2: Convert to fraction form
    5,783.12/7,984.08 = 4,454.24/x
  3. Step 3: Cross multiply
    5,783.12x = 7,984.08 × 4,454.24
  4. Step 4: Simplify right side
    5,783.12x = 35,563,008.50
  5. Step 5: Solve for x
    x = 35,563,008.50/5,783.12
  6. Step 6: Final answer
    x = 6,149.45

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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.