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Finding the Fourth Proportional to 5,405.79, 8,106.17 and 2,808.03

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Solution

The fourth proportional to 5,405.79, 8,106.17 and 2,808.03 is: 4,210.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,405.79 : 8,106.17 = 2,808.03 : x
  2. Step 2: Convert to fraction form
    5,405.79/8,106.17 = 2,808.03/x
  3. Step 3: Cross multiply
    5,405.79x = 8,106.17 × 2,808.03
  4. Step 4: Simplify right side
    5,405.79x = 22,762,354.50
  5. Step 5: Solve for x
    x = 22,762,354.50/5,405.79
  6. Step 6: Final answer
    x = 4,210.74

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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.