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Finding the Fourth Proportional to 4,242.41, 6,357.13 and 1,775.89

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Solution

The fourth proportional to 4,242.41, 6,357.13 and 1,775.89 is: 2,661.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.41 : 6,357.13 = 1,775.89 : x
  2. Step 2: Convert to fraction form
    4,242.41/6,357.13 = 1,775.89/x
  3. Step 3: Cross multiply
    4,242.41x = 6,357.13 × 1,775.89
  4. Step 4: Simplify right side
    4,242.41x = 11,289,563.60
  5. Step 5: Solve for x
    x = 11,289,563.60/4,242.41
  6. Step 6: Final answer
    x = 2,661.12

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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.