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Finding the Fourth Proportional to 5,799.16, 7,948.91 and 5,696.56

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Solution

The fourth proportional to 5,799.16, 7,948.91 and 5,696.56 is: 7,808.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,799.16 : 7,948.91 = 5,696.56 : x
  2. Step 2: Convert to fraction form
    5,799.16/7,948.91 = 5,696.56/x
  3. Step 3: Cross multiply
    5,799.16x = 7,948.91 × 5,696.56
  4. Step 4: Simplify right side
    5,799.16x = 45,281,442.75
  5. Step 5: Solve for x
    x = 45,281,442.75/5,799.16
  6. Step 6: Final answer
    x = 7,808.28

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.