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Finding the Fourth Proportional to 4,760.34, 7,140.15 and 1,297.86

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Solution

The fourth proportional to 4,760.34, 7,140.15 and 1,297.86 is: 1,946.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,760.34 : 7,140.15 = 1,297.86 : x
  2. Step 2: Convert to fraction form
    4,760.34/7,140.15 = 1,297.86/x
  3. Step 3: Cross multiply
    4,760.34x = 7,140.15 × 1,297.86
  4. Step 4: Simplify right side
    4,760.34x = 9,266,915.08
  5. Step 5: Solve for x
    x = 9,266,915.08/4,760.34
  6. Step 6: Final answer
    x = 1,946.69

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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.