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Finding the Fourth Proportional to 4,851, 6,695.24 and 3,670.02

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Solution

The fourth proportional to 4,851, 6,695.24 and 3,670.02 is: 5,065.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,851 : 6,695.24 = 3,670.02 : x
  2. Step 2: Convert to fraction form
    4,851/6,695.24 = 3,670.02/x
  3. Step 3: Cross multiply
    4,851x = 6,695.24 × 3,670.02
  4. Step 4: Simplify right side
    4,851x = 24,571,646.35
  5. Step 5: Solve for x
    x = 24,571,646.35/4,851
  6. Step 6: Final answer
    x = 5,065.27

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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.