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Finding the Fourth Proportional to 6,435.50, 8,880.93 and 3,641

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Solution

The fourth proportional to 6,435.50, 8,880.93 and 3,641 is: 5,024.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,435.50 : 8,880.93 = 3,641 : x
  2. Step 2: Convert to fraction form
    6,435.50/8,880.93 = 3,641/x
  3. Step 3: Cross multiply
    6,435.50x = 8,880.93 × 3,641
  4. Step 4: Simplify right side
    6,435.50x = 32,335,466.13
  5. Step 5: Solve for x
    x = 32,335,466.13/6,435.50
  6. Step 6: Final answer
    x = 5,024.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.