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Finding the Fourth Proportional to 5,823.36, 8,041.23 and 5,635.07

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Solution

The fourth proportional to 5,823.36, 8,041.23 and 5,635.07 is: 7,781.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,823.36 : 8,041.23 = 5,635.07 : x
  2. Step 2: Convert to fraction form
    5,823.36/8,041.23 = 5,635.07/x
  3. Step 3: Cross multiply
    5,823.36x = 8,041.23 × 5,635.07
  4. Step 4: Simplify right side
    5,823.36x = 45,312,867.82
  5. Step 5: Solve for x
    x = 45,312,867.82/5,823.36
  6. Step 6: Final answer
    x = 7,781.22

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