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Finding the Fourth Proportional to 4,701.06, 7,051.32 and 1,238.22

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Solution

The fourth proportional to 4,701.06, 7,051.32 and 1,238.22 is: 1,857.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,701.06 : 7,051.32 = 1,238.22 : x
  2. Step 2: Convert to fraction form
    4,701.06/7,051.32 = 1,238.22/x
  3. Step 3: Cross multiply
    4,701.06x = 7,051.32 × 1,238.22
  4. Step 4: Simplify right side
    4,701.06x = 8,731,085.45
  5. Step 5: Solve for x
    x = 8,731,085.45/4,701.06
  6. Step 6: Final answer
    x = 1,857.26

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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.