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Finding the Fourth Proportional to 5,815.63, 8,024.97 and 3,457.32

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Solution

The fourth proportional to 5,815.63, 8,024.97 and 3,457.32 is: 4,770.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,815.63 : 8,024.97 = 3,457.32 : x
  2. Step 2: Convert to fraction form
    5,815.63/8,024.97 = 3,457.32/x
  3. Step 3: Cross multiply
    5,815.63x = 8,024.97 × 3,457.32
  4. Step 4: Simplify right side
    5,815.63x = 27,744,889.28
  5. Step 5: Solve for x
    x = 27,744,889.28/5,815.63
  6. Step 6: Final answer
    x = 4,770.75

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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.