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Finding the Fourth Proportional to 5,695.40, 7,858.18 and 5,299.01

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Solution

The fourth proportional to 5,695.40, 7,858.18 and 5,299.01 is: 7,311.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.40 : 7,858.18 = 5,299.01 : x
  2. Step 2: Convert to fraction form
    5,695.40/7,858.18 = 5,299.01/x
  3. Step 3: Cross multiply
    5,695.40x = 7,858.18 × 5,299.01
  4. Step 4: Simplify right side
    5,695.40x = 41,640,574.40
  5. Step 5: Solve for x
    x = 41,640,574.40/5,695.40
  6. Step 6: Final answer
    x = 7,311.26

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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.