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Finding the Fourth Proportional to 4,522, 6,242.92 and 3,416.08

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Solution

The fourth proportional to 4,522, 6,242.92 and 3,416.08 is: 4,716.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,522 : 6,242.92 = 3,416.08 : x
  2. Step 2: Convert to fraction form
    4,522/6,242.92 = 3,416.08/x
  3. Step 3: Cross multiply
    4,522x = 6,242.92 × 3,416.08
  4. Step 4: Simplify right side
    4,522x = 21,326,314.15
  5. Step 5: Solve for x
    x = 21,326,314.15/4,522
  6. Step 6: Final answer
    x = 4,716.12

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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.