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Finding the Fourth Proportional to 4,338.69, 6,508.01 and 1,051.76

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Solution

The fourth proportional to 4,338.69, 6,508.01 and 1,051.76 is: 1,577.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,338.69 : 6,508.01 = 1,051.76 : x
  2. Step 2: Convert to fraction form
    4,338.69/6,508.01 = 1,051.76/x
  3. Step 3: Cross multiply
    4,338.69x = 6,508.01 × 1,051.76
  4. Step 4: Simplify right side
    4,338.69x = 6,844,879.55
  5. Step 5: Solve for x
    x = 6,844,879.55/4,338.69
  6. Step 6: Final answer
    x = 1,577.64

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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.