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Finding the Fourth Proportional to 5,762.64, 8,632.56 and 3,808.92

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Solution

The fourth proportional to 5,762.64, 8,632.56 and 3,808.92 is: 5,705.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.64 : 8,632.56 = 3,808.92 : x
  2. Step 2: Convert to fraction form
    5,762.64/8,632.56 = 3,808.92/x
  3. Step 3: Cross multiply
    5,762.64x = 8,632.56 × 3,808.92
  4. Step 4: Simplify right side
    5,762.64x = 32,880,730.44
  5. Step 5: Solve for x
    x = 32,880,730.44/5,762.64
  6. Step 6: Final answer
    x = 5,705.84

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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.