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Finding the Fourth Proportional to 4,686.16, 6,458 and 3,357.54

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Solution

The fourth proportional to 4,686.16, 6,458 and 3,357.54 is: 4,627.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686.16 : 6,458 = 3,357.54 : x
  2. Step 2: Convert to fraction form
    4,686.16/6,458 = 3,357.54/x
  3. Step 3: Cross multiply
    4,686.16x = 6,458 × 3,357.54
  4. Step 4: Simplify right side
    4,686.16x = 21,682,993.32
  5. Step 5: Solve for x
    x = 21,682,993.32/4,686.16
  6. Step 6: Final answer
    x = 4,627.03

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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.