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Finding the Fourth Proportional to 4,379.86, 6,564.93 and 2,066.50

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Solution

The fourth proportional to 4,379.86, 6,564.93 and 2,066.50 is: 3,097.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,379.86 : 6,564.93 = 2,066.50 : x
  2. Step 2: Convert to fraction form
    4,379.86/6,564.93 = 2,066.50/x
  3. Step 3: Cross multiply
    4,379.86x = 6,564.93 × 2,066.50
  4. Step 4: Simplify right side
    4,379.86x = 13,566,427.85
  5. Step 5: Solve for x
    x = 13,566,427.85/4,379.86
  6. Step 6: Final answer
    x = 3,097.46

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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.