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Finding the Fourth Proportional to 4,693, 6,477.24 and 2,703.64

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Solution

The fourth proportional to 4,693, 6,477.24 and 2,703.64 is: 3,731.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,693 : 6,477.24 = 2,703.64 : x
  2. Step 2: Convert to fraction form
    4,693/6,477.24 = 2,703.64/x
  3. Step 3: Cross multiply
    4,693x = 6,477.24 × 2,703.64
  4. Step 4: Simplify right side
    4,693x = 17,512,125.15
  5. Step 5: Solve for x
    x = 17,512,125.15/4,693
  6. Step 6: Final answer
    x = 3,731.54

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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.