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Finding the Fourth Proportional to 4,701.16, 7,051.74 and 1,238.68

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Solution

The fourth proportional to 4,701.16, 7,051.74 and 1,238.68 is: 1,858.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,701.16 : 7,051.74 = 1,238.68 : x
  2. Step 2: Convert to fraction form
    4,701.16/7,051.74 = 1,238.68/x
  3. Step 3: Cross multiply
    4,701.16x = 7,051.74 × 1,238.68
  4. Step 4: Simplify right side
    4,701.16x = 8,734,849.30
  5. Step 5: Solve for x
    x = 8,734,849.30/4,701.16
  6. Step 6: Final answer
    x = 1,858.02

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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.