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Finding the Fourth Proportional to 4,642.42, 6,962.91 and 1,355.17

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Solution

The fourth proportional to 4,642.42, 6,962.91 and 1,355.17 is: 2,032.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.42 : 6,962.91 = 1,355.17 : x
  2. Step 2: Convert to fraction form
    4,642.42/6,962.91 = 1,355.17/x
  3. Step 3: Cross multiply
    4,642.42x = 6,962.91 × 1,355.17
  4. Step 4: Simplify right side
    4,642.42x = 9,435,926.74
  5. Step 5: Solve for x
    x = 9,435,926.74/4,642.42
  6. Step 6: Final answer
    x = 2,032.54

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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.