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Finding the Fourth Proportional to 4,495.17, 6,739.30 and 3,712.71

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Solution

The fourth proportional to 4,495.17, 6,739.30 and 3,712.71 is: 5,566.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,495.17 : 6,739.30 = 3,712.71 : x
  2. Step 2: Convert to fraction form
    4,495.17/6,739.30 = 3,712.71/x
  3. Step 3: Cross multiply
    4,495.17x = 6,739.30 × 3,712.71
  4. Step 4: Simplify right side
    4,495.17x = 25,021,066.50
  5. Step 5: Solve for x
    x = 25,021,066.50/4,495.17
  6. Step 6: Final answer
    x = 5,566.21

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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.