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Finding the Fourth Proportional to 5,709.40, 8,564.10 and 3,405.40

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Solution

The fourth proportional to 5,709.40, 8,564.10 and 3,405.40 is: 5,108.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.40 : 8,564.10 = 3,405.40 : x
  2. Step 2: Convert to fraction form
    5,709.40/8,564.10 = 3,405.40/x
  3. Step 3: Cross multiply
    5,709.40x = 8,564.10 × 3,405.40
  4. Step 4: Simplify right side
    5,709.40x = 29,164,186.14
  5. Step 5: Solve for x
    x = 29,164,186.14/5,709.40
  6. Step 6: Final answer
    x = 5,108.10

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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.