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Finding the Fourth Proportional to 4,237.48, 6,356.76 and 1,774

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Solution

The fourth proportional to 4,237.48, 6,356.76 and 1,774 is: 2,661.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,237.48 : 6,356.76 = 1,774 : x
  2. Step 2: Convert to fraction form
    4,237.48/6,356.76 = 1,774/x
  3. Step 3: Cross multiply
    4,237.48x = 6,356.76 × 1,774
  4. Step 4: Simplify right side
    4,237.48x = 11,276,892.24
  5. Step 5: Solve for x
    x = 11,276,892.24/4,237.48
  6. Step 6: Final answer
    x = 2,661.23

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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.