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Finding the Fourth Proportional to 4,842.51, 7,265.82 and 2,894.72

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Solution

The fourth proportional to 4,842.51, 7,265.82 and 2,894.72 is: 4,343.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.51 : 7,265.82 = 2,894.72 : x
  2. Step 2: Convert to fraction form
    4,842.51/7,265.82 = 2,894.72/x
  3. Step 3: Cross multiply
    4,842.51x = 7,265.82 × 2,894.72
  4. Step 4: Simplify right side
    4,842.51x = 21,032,478.14
  5. Step 5: Solve for x
    x = 21,032,478.14/4,842.51
  6. Step 6: Final answer
    x = 4,343.30

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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.