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Finding the Fourth Proportional to 4,851.40, 6,698.10 and 3,730.28

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Solution

The fourth proportional to 4,851.40, 6,698.10 and 3,730.28 is: 5,150.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,851.40 : 6,698.10 = 3,730.28 : x
  2. Step 2: Convert to fraction form
    4,851.40/6,698.10 = 3,730.28/x
  3. Step 3: Cross multiply
    4,851.40x = 6,698.10 × 3,730.28
  4. Step 4: Simplify right side
    4,851.40x = 24,985,788.47
  5. Step 5: Solve for x
    x = 24,985,788.47/4,851.40
  6. Step 6: Final answer
    x = 5,150.22

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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.