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Finding the Fourth Proportional to 5,764.84, 8,646.90 and 2,299.60

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Solution

The fourth proportional to 5,764.84, 8,646.90 and 2,299.60 is: 3,449.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.84 : 8,646.90 = 2,299.60 : x
  2. Step 2: Convert to fraction form
    5,764.84/8,646.90 = 2,299.60/x
  3. Step 3: Cross multiply
    5,764.84x = 8,646.90 × 2,299.60
  4. Step 4: Simplify right side
    5,764.84x = 19,884,411.24
  5. Step 5: Solve for x
    x = 19,884,411.24/5,764.84
  6. Step 6: Final answer
    x = 3,449.26

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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.