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Finding the Fourth Proportional to 5,419, 7,477.62 and 3,060.64

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Solution

The fourth proportional to 5,419, 7,477.62 and 3,060.64 is: 4,223.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,419 : 7,477.62 = 3,060.64 : x
  2. Step 2: Convert to fraction form
    5,419/7,477.62 = 3,060.64/x
  3. Step 3: Cross multiply
    5,419x = 7,477.62 × 3,060.64
  4. Step 4: Simplify right side
    5,419x = 22,886,302.88
  5. Step 5: Solve for x
    x = 22,886,302.88/5,419
  6. Step 6: Final answer
    x = 4,223.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.