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Finding the Fourth Proportional to 4,650.89, 6,416.40 and 2,660.38

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Solution

The fourth proportional to 4,650.89, 6,416.40 and 2,660.38 is: 3,670.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,650.89 : 6,416.40 = 2,660.38 : x
  2. Step 2: Convert to fraction form
    4,650.89/6,416.40 = 2,660.38/x
  3. Step 3: Cross multiply
    4,650.89x = 6,416.40 × 2,660.38
  4. Step 4: Simplify right side
    4,650.89x = 17,070,041.20
  5. Step 5: Solve for x
    x = 17,070,041.20/4,650.89
  6. Step 6: Final answer
    x = 3,670.28

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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.