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Finding the Fourth Proportional to 4,257.54, 5,873.67 and 2,929.50

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Solution

The fourth proportional to 4,257.54, 5,873.67 and 2,929.50 is: 4,041.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,257.54 : 5,873.67 = 2,929.50 : x
  2. Step 2: Convert to fraction form
    4,257.54/5,873.67 = 2,929.50/x
  3. Step 3: Cross multiply
    4,257.54x = 5,873.67 × 2,929.50
  4. Step 4: Simplify right side
    4,257.54x = 17,206,916.27
  5. Step 5: Solve for x
    x = 17,206,916.27/4,257.54
  6. Step 6: Final answer
    x = 4,041.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.