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Finding the Fourth Proportional to 4,606.50, 6,892.47 and 4,356.39

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Solution

The fourth proportional to 4,606.50, 6,892.47 and 4,356.39 is: 6,518.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606.50 : 6,892.47 = 4,356.39 : x
  2. Step 2: Convert to fraction form
    4,606.50/6,892.47 = 4,356.39/x
  3. Step 3: Cross multiply
    4,606.50x = 6,892.47 × 4,356.39
  4. Step 4: Simplify right side
    4,606.50x = 30,026,287.38
  5. Step 5: Solve for x
    x = 30,026,287.38/4,606.50
  6. Step 6: Final answer
    x = 6,518.24

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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.