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Finding the Fourth Proportional to 5,802.06, 8,696.62 and 5,335.00

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Solution

The fourth proportional to 5,802.06, 8,696.62 and 5,335.00 is: 7,996.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.06 : 8,696.62 = 5,335.00 : x
  2. Step 2: Convert to fraction form
    5,802.06/8,696.62 = 5,335.00/x
  3. Step 3: Cross multiply
    5,802.06x = 8,696.62 × 5,335.00
  4. Step 4: Simplify right side
    5,802.06x = 46,396,422.62
  5. Step 5: Solve for x
    x = 46,396,422.62/5,802.06
  6. Step 6: Final answer
    x = 7,996.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.