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Finding the Fourth Proportional to 4,753.07, 7,129.61 and 1,290.32

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Solution

The fourth proportional to 4,753.07, 7,129.61 and 1,290.32 is: 1,935.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,753.07 : 7,129.61 = 1,290.32 : x
  2. Step 2: Convert to fraction form
    4,753.07/7,129.61 = 1,290.32/x
  3. Step 3: Cross multiply
    4,753.07x = 7,129.61 × 1,290.32
  4. Step 4: Simplify right side
    4,753.07x = 9,199,478.38
  5. Step 5: Solve for x
    x = 9,199,478.38/4,753.07
  6. Step 6: Final answer
    x = 1,935.48

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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.