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Finding the Fourth Proportional to 4,641.96, 6,963.48 and 1,869.60

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Solution

The fourth proportional to 4,641.96, 6,963.48 and 1,869.60 is: 2,804.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.96 : 6,963.48 = 1,869.60 : x
  2. Step 2: Convert to fraction form
    4,641.96/6,963.48 = 1,869.60/x
  3. Step 3: Cross multiply
    4,641.96x = 6,963.48 × 1,869.60
  4. Step 4: Simplify right side
    4,641.96x = 13,018,922.21
  5. Step 5: Solve for x
    x = 13,018,922.21/4,641.96
  6. Step 6: Final answer
    x = 2,804.62

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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.