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Finding the Fourth Proportional to 4,824, 6,652.56 and 3,146.70

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Solution

The fourth proportional to 4,824, 6,652.56 and 3,146.70 is: 4,339.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,824 : 6,652.56 = 3,146.70 : x
  2. Step 2: Convert to fraction form
    4,824/6,652.56 = 3,146.70/x
  3. Step 3: Cross multiply
    4,824x = 6,652.56 × 3,146.70
  4. Step 4: Simplify right side
    4,824x = 20,933,610.55
  5. Step 5: Solve for x
    x = 20,933,610.55/4,824
  6. Step 6: Final answer
    x = 4,339.47

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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.