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Finding the Fourth Proportional to 5,709.80, 8,564.70 and 5,094.20

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Solution

The fourth proportional to 5,709.80, 8,564.70 and 5,094.20 is: 7,641.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.80 : 8,564.70 = 5,094.20 : x
  2. Step 2: Convert to fraction form
    5,709.80/8,564.70 = 5,094.20/x
  3. Step 3: Cross multiply
    5,709.80x = 8,564.70 × 5,094.20
  4. Step 4: Simplify right side
    5,709.80x = 43,630,294.74
  5. Step 5: Solve for x
    x = 43,630,294.74/5,709.80
  6. Step 6: Final answer
    x = 7,641.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.