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Finding the Fourth Proportional to 5,404.32, 8,106.49 and 3,065.44

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Solution

The fourth proportional to 5,404.32, 8,106.49 and 3,065.44 is: 4,598.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,404.32 : 8,106.49 = 3,065.44 : x
  2. Step 2: Convert to fraction form
    5,404.32/8,106.49 = 3,065.44/x
  3. Step 3: Cross multiply
    5,404.32x = 8,106.49 × 3,065.44
  4. Step 4: Simplify right side
    5,404.32x = 24,849,958.71
  5. Step 5: Solve for x
    x = 24,849,958.71/5,404.32
  6. Step 6: Final answer
    x = 4,598.17

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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.