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Finding the Fourth Proportional to 4,242.61, 6,356.39 and 1,771.99

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Solution

The fourth proportional to 4,242.61, 6,356.39 and 1,771.99 is: 2,654.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.61 : 6,356.39 = 1,771.99 : x
  2. Step 2: Convert to fraction form
    4,242.61/6,356.39 = 1,771.99/x
  3. Step 3: Cross multiply
    4,242.61x = 6,356.39 × 1,771.99
  4. Step 4: Simplify right side
    4,242.61x = 11,263,466.55
  5. Step 5: Solve for x
    x = 11,263,466.55/4,242.61
  6. Step 6: Final answer
    x = 2,654.84

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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.