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Finding the Fourth Proportional to 4,813.47, 6,642.62 and 2,824.07

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Solution

The fourth proportional to 4,813.47, 6,642.62 and 2,824.07 is: 3,897.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,813.47 : 6,642.62 = 2,824.07 : x
  2. Step 2: Convert to fraction form
    4,813.47/6,642.62 = 2,824.07/x
  3. Step 3: Cross multiply
    4,813.47x = 6,642.62 × 2,824.07
  4. Step 4: Simplify right side
    4,813.47x = 18,759,223.86
  5. Step 5: Solve for x
    x = 18,759,223.86/4,813.47
  6. Step 6: Final answer
    x = 3,897.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.