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Finding the Fourth Proportional to 4,941.69, 7,405.16 and 4,577.19

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Solution

The fourth proportional to 4,941.69, 7,405.16 and 4,577.19 is: 6,858.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,941.69 : 7,405.16 = 4,577.19 : x
  2. Step 2: Convert to fraction form
    4,941.69/7,405.16 = 4,577.19/x
  3. Step 3: Cross multiply
    4,941.69x = 7,405.16 × 4,577.19
  4. Step 4: Simplify right side
    4,941.69x = 33,894,801.41
  5. Step 5: Solve for x
    x = 33,894,801.41/4,941.69
  6. Step 6: Final answer
    x = 6,858.95

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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.