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Finding the Fourth Proportional to 4,303.37, 6,455.06 and 1,706.31

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Solution

The fourth proportional to 4,303.37, 6,455.06 and 1,706.31 is: 2,559.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,303.37 : 6,455.06 = 1,706.31 : x
  2. Step 2: Convert to fraction form
    4,303.37/6,455.06 = 1,706.31/x
  3. Step 3: Cross multiply
    4,303.37x = 6,455.06 × 1,706.31
  4. Step 4: Simplify right side
    4,303.37x = 11,014,324.90
  5. Step 5: Solve for x
    x = 11,014,324.90/4,303.37
  6. Step 6: Final answer
    x = 2,559.47

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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.