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Finding the Fourth Proportional to 4,767.06, 7,145.28 and 1,842.96

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Solution

The fourth proportional to 4,767.06, 7,145.28 and 1,842.96 is: 2,762.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,767.06 : 7,145.28 = 1,842.96 : x
  2. Step 2: Convert to fraction form
    4,767.06/7,145.28 = 1,842.96/x
  3. Step 3: Cross multiply
    4,767.06x = 7,145.28 × 1,842.96
  4. Step 4: Simplify right side
    4,767.06x = 13,168,465.23
  5. Step 5: Solve for x
    x = 13,168,465.23/4,767.06
  6. Step 6: Final answer
    x = 2,762.39

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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.