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Finding the Fourth Proportional to 5,823.54, 8,044.74 and 4,643.10

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Solution

The fourth proportional to 5,823.54, 8,044.74 and 4,643.10 is: 6,414.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,823.54 : 8,044.74 = 4,643.10 : x
  2. Step 2: Convert to fraction form
    5,823.54/8,044.74 = 4,643.10/x
  3. Step 3: Cross multiply
    5,823.54x = 8,044.74 × 4,643.10
  4. Step 4: Simplify right side
    5,823.54x = 37,352,532.29
  5. Step 5: Solve for x
    x = 37,352,532.29/5,823.54
  6. Step 6: Final answer
    x = 6,414.06

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1.5x scale

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.