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Finding the Fourth Proportional to 5,926.16, 8,890.16 and 2,228.64

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Solution

The fourth proportional to 5,926.16, 8,890.16 and 2,228.64 is: 3,343.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,926.16 : 8,890.16 = 2,228.64 : x
  2. Step 2: Convert to fraction form
    5,926.16/8,890.16 = 2,228.64/x
  3. Step 3: Cross multiply
    5,926.16x = 8,890.16 × 2,228.64
  4. Step 4: Simplify right side
    5,926.16x = 19,812,955.04
  5. Step 5: Solve for x
    x = 19,812,955.04/5,926.16
  6. Step 6: Final answer
    x = 3,343.31

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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.