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Finding the Fourth Proportional to 3,699.16, 5,107.24 and 2,858.40

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Solution

The fourth proportional to 3,699.16, 5,107.24 and 2,858.40 is: 3,946.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.16 : 5,107.24 = 2,858.40 : x
  2. Step 2: Convert to fraction form
    3,699.16/5,107.24 = 2,858.40/x
  3. Step 3: Cross multiply
    3,699.16x = 5,107.24 × 2,858.40
  4. Step 4: Simplify right side
    3,699.16x = 14,598,534.82
  5. Step 5: Solve for x
    x = 14,598,534.82/3,699.16
  6. Step 6: Final answer
    x = 3,946.45

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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.