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Finding the Fourth Proportional to 3,607, 4,975.75 and 2,280.22

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Solution

The fourth proportional to 3,607, 4,975.75 and 2,280.22 is: 3,145.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607 : 4,975.75 = 2,280.22 : x
  2. Step 2: Convert to fraction form
    3,607/4,975.75 = 2,280.22/x
  3. Step 3: Cross multiply
    3,607x = 4,975.75 × 2,280.22
  4. Step 4: Simplify right side
    3,607x = 11,345,804.67
  5. Step 5: Solve for x
    x = 11,345,804.67/3,607
  6. Step 6: Final answer
    x = 3,145.50

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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.