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Finding the Fourth Proportional to 8,574.44, 12,851.58 and 3,641

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Solution

The fourth proportional to 8,574.44, 12,851.58 and 3,641 is: 5,457.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,574.44 : 12,851.58 = 3,641 : x
  2. Step 2: Convert to fraction form
    8,574.44/12,851.58 = 3,641/x
  3. Step 3: Cross multiply
    8,574.44x = 12,851.58 × 3,641
  4. Step 4: Simplify right side
    8,574.44x = 46,792,602.78
  5. Step 5: Solve for x
    x = 46,792,602.78/8,574.44
  6. Step 6: Final answer
    x = 5,457.22

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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.