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Finding the Fourth Proportional to 3,598.86, 4,967.82 and 2,813.16

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Solution

The fourth proportional to 3,598.86, 4,967.82 and 2,813.16 is: 3,883.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,598.86 : 4,967.82 = 2,813.16 : x
  2. Step 2: Convert to fraction form
    3,598.86/4,967.82 = 2,813.16/x
  3. Step 3: Cross multiply
    3,598.86x = 4,967.82 × 2,813.16
  4. Step 4: Simplify right side
    3,598.86x = 13,975,272.51
  5. Step 5: Solve for x
    x = 13,975,272.51/3,598.86
  6. Step 6: Final answer
    x = 3,883.25

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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.