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Finding the Fourth Proportional to 4,297.01, 6,444.70 and 1,523.57

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Solution

The fourth proportional to 4,297.01, 6,444.70 and 1,523.57 is: 2,285.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.01 : 6,444.70 = 1,523.57 : x
  2. Step 2: Convert to fraction form
    4,297.01/6,444.70 = 1,523.57/x
  3. Step 3: Cross multiply
    4,297.01x = 6,444.70 × 1,523.57
  4. Step 4: Simplify right side
    4,297.01x = 9,818,915.55
  5. Step 5: Solve for x
    x = 9,818,915.55/4,297.01
  6. Step 6: Final answer
    x = 2,285.06

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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.