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Finding the Fourth Proportional to 4,495.16, 6,743.10 and 3,442.49

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Solution

The fourth proportional to 4,495.16, 6,743.10 and 3,442.49 is: 5,164.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,495.16 : 6,743.10 = 3,442.49 : x
  2. Step 2: Convert to fraction form
    4,495.16/6,743.10 = 3,442.49/x
  3. Step 3: Cross multiply
    4,495.16x = 6,743.10 × 3,442.49
  4. Step 4: Simplify right side
    4,495.16x = 23,213,054.32
  5. Step 5: Solve for x
    x = 23,213,054.32/4,495.16
  6. Step 6: Final answer
    x = 5,164.01

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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.