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Finding the Fourth Proportional to 4,430.58, 6,645.87 and 4,159.94

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Solution

The fourth proportional to 4,430.58, 6,645.87 and 4,159.94 is: 6,239.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,430.58 : 6,645.87 = 4,159.94 : x
  2. Step 2: Convert to fraction form
    4,430.58/6,645.87 = 4,159.94/x
  3. Step 3: Cross multiply
    4,430.58x = 6,645.87 × 4,159.94
  4. Step 4: Simplify right side
    4,430.58x = 27,646,397.62
  5. Step 5: Solve for x
    x = 27,646,397.62/4,430.58
  6. Step 6: Final answer
    x = 6,239.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.