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Finding the Fourth Proportional to 4,638.51, 6,957.86 and 1,351.53

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Solution

The fourth proportional to 4,638.51, 6,957.86 and 1,351.53 is: 2,027.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,638.51 : 6,957.86 = 1,351.53 : x
  2. Step 2: Convert to fraction form
    4,638.51/6,957.86 = 1,351.53/x
  3. Step 3: Cross multiply
    4,638.51x = 6,957.86 × 1,351.53
  4. Step 4: Simplify right side
    4,638.51x = 9,403,749.77
  5. Step 5: Solve for x
    x = 9,403,749.77/4,638.51
  6. Step 6: Final answer
    x = 2,027.32

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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.