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Finding the Fourth Proportional to 4,642.86, 6,955 and 2,792.95

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Solution

The fourth proportional to 4,642.86, 6,955 and 2,792.95 is: 4,183.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.86 : 6,955 = 2,792.95 : x
  2. Step 2: Convert to fraction form
    4,642.86/6,955 = 2,792.95/x
  3. Step 3: Cross multiply
    4,642.86x = 6,955 × 2,792.95
  4. Step 4: Simplify right side
    4,642.86x = 19,424,967.25
  5. Step 5: Solve for x
    x = 19,424,967.25/4,642.86
  6. Step 6: Final answer
    x = 4,183.84

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Why These Related Problems?

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