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Finding the Fourth Proportional to 5,764.60, 8,637.35 and 3,506.30

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Solution

The fourth proportional to 5,764.60, 8,637.35 and 3,506.30 is: 5,253.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.60 : 8,637.35 = 3,506.30 : x
  2. Step 2: Convert to fraction form
    5,764.60/8,637.35 = 3,506.30/x
  3. Step 3: Cross multiply
    5,764.60x = 8,637.35 × 3,506.30
  4. Step 4: Simplify right side
    5,764.60x = 30,285,180.28
  5. Step 5: Solve for x
    x = 30,285,180.28/5,764.60
  6. Step 6: Final answer
    x = 5,253.65

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1.5x scale

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.