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Finding the Fourth Proportional to 4,208.68, 5,807.64 and 2,345.68

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Solution

The fourth proportional to 4,208.68, 5,807.64 and 2,345.68 is: 3,236.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,208.68 : 5,807.64 = 2,345.68 : x
  2. Step 2: Convert to fraction form
    4,208.68/5,807.64 = 2,345.68/x
  3. Step 3: Cross multiply
    4,208.68x = 5,807.64 × 2,345.68
  4. Step 4: Simplify right side
    4,208.68x = 13,622,865.00
  5. Step 5: Solve for x
    x = 13,622,865.00/4,208.68
  6. Step 6: Final answer
    x = 3,236.85

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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.