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Finding the Fourth Proportional to 4,925.72, 6,802.98 and 3,820.02

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Solution

The fourth proportional to 4,925.72, 6,802.98 and 3,820.02 is: 5,275.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,925.72 : 6,802.98 = 3,820.02 : x
  2. Step 2: Convert to fraction form
    4,925.72/6,802.98 = 3,820.02/x
  3. Step 3: Cross multiply
    4,925.72x = 6,802.98 × 3,820.02
  4. Step 4: Simplify right side
    4,925.72x = 25,987,519.66
  5. Step 5: Solve for x
    x = 25,987,519.66/4,925.72
  6. Step 6: Final answer
    x = 5,275.88

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