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Finding the Fourth Proportional to 5,813.88, 8,024.22 and 3,457.32

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Solution

The fourth proportional to 5,813.88, 8,024.22 and 3,457.32 is: 4,771.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,813.88 : 8,024.22 = 3,457.32 : x
  2. Step 2: Convert to fraction form
    5,813.88/8,024.22 = 3,457.32/x
  3. Step 3: Cross multiply
    5,813.88x = 8,024.22 × 3,457.32
  4. Step 4: Simplify right side
    5,813.88x = 27,742,296.29
  5. Step 5: Solve for x
    x = 27,742,296.29/5,813.88
  6. Step 6: Final answer
    x = 4,771.74

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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.