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Finding the Fourth Proportional to 4,804.67, 7,207.88 and 1,641.94

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Solution

The fourth proportional to 4,804.67, 7,207.88 and 1,641.94 is: 2,463.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,804.67 : 7,207.88 = 1,641.94 : x
  2. Step 2: Convert to fraction form
    4,804.67/7,207.88 = 1,641.94/x
  3. Step 3: Cross multiply
    4,804.67x = 7,207.88 × 1,641.94
  4. Step 4: Simplify right side
    4,804.67x = 11,834,880.26
  5. Step 5: Solve for x
    x = 11,834,880.26/4,804.67
  6. Step 6: Final answer
    x = 2,463.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.