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Finding the Fourth Proportional to 5,678.35, 8,529.81 and 4,802.59

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Solution

The fourth proportional to 5,678.35, 8,529.81 and 4,802.59 is: 7,214.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.35 : 8,529.81 = 4,802.59 : x
  2. Step 2: Convert to fraction form
    5,678.35/8,529.81 = 4,802.59/x
  3. Step 3: Cross multiply
    5,678.35x = 8,529.81 × 4,802.59
  4. Step 4: Simplify right side
    5,678.35x = 40,965,172.86
  5. Step 5: Solve for x
    x = 40,965,172.86/5,678.35
  6. Step 6: Final answer
    x = 7,214.27

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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.