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Finding the Fourth Proportional to 4,701.64, 7,052.44 and 1,414.98

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Solution

The fourth proportional to 4,701.64, 7,052.44 and 1,414.98 is: 2,122.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,701.64 : 7,052.44 = 1,414.98 : x
  2. Step 2: Convert to fraction form
    4,701.64/7,052.44 = 1,414.98/x
  3. Step 3: Cross multiply
    4,701.64x = 7,052.44 × 1,414.98
  4. Step 4: Simplify right side
    4,701.64x = 9,979,061.55
  5. Step 5: Solve for x
    x = 9,979,061.55/4,701.64
  6. Step 6: Final answer
    x = 2,122.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.