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Finding the Fourth Proportional to 4,597, 6,896.34 and 1,477.48

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Solution

The fourth proportional to 4,597, 6,896.34 and 1,477.48 is: 2,216.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597 : 6,896.34 = 1,477.48 : x
  2. Step 2: Convert to fraction form
    4,597/6,896.34 = 1,477.48/x
  3. Step 3: Cross multiply
    4,597x = 6,896.34 × 1,477.48
  4. Step 4: Simplify right side
    4,597x = 10,189,204.42
  5. Step 5: Solve for x
    x = 10,189,204.42/4,597
  6. Step 6: Final answer
    x = 2,216.49

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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.