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Finding the Fourth Proportional to 5,709.53, 8,564.58 and 5,397.86

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Solution

The fourth proportional to 5,709.53, 8,564.58 and 5,397.86 is: 8,097.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.53 : 8,564.58 = 5,397.86 : x
  2. Step 2: Convert to fraction form
    5,709.53/8,564.58 = 5,397.86/x
  3. Step 3: Cross multiply
    5,709.53x = 8,564.58 × 5,397.86
  4. Step 4: Simplify right side
    5,709.53x = 46,230,360.98
  5. Step 5: Solve for x
    x = 46,230,360.98/5,709.53
  6. Step 6: Final answer
    x = 8,097.06

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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.