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Finding the Fourth Proportional to 4,962.16, 7,443.51 and 1,264.42

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Solution

The fourth proportional to 4,962.16, 7,443.51 and 1,264.42 is: 1,896.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,962.16 : 7,443.51 = 1,264.42 : x
  2. Step 2: Convert to fraction form
    4,962.16/7,443.51 = 1,264.42/x
  3. Step 3: Cross multiply
    4,962.16x = 7,443.51 × 1,264.42
  4. Step 4: Simplify right side
    4,962.16x = 9,411,722.91
  5. Step 5: Solve for x
    x = 9,411,722.91/4,962.16
  6. Step 6: Final answer
    x = 1,896.70

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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.