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Finding the Fourth Proportional to 4,838.90, 7,254.16 and 2,887

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Solution

The fourth proportional to 4,838.90, 7,254.16 and 2,887 is: 4,328.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,838.90 : 7,254.16 = 2,887 : x
  2. Step 2: Convert to fraction form
    4,838.90/7,254.16 = 2,887/x
  3. Step 3: Cross multiply
    4,838.90x = 7,254.16 × 2,887
  4. Step 4: Simplify right side
    4,838.90x = 20,942,759.92
  5. Step 5: Solve for x
    x = 20,942,759.92/4,838.90
  6. Step 6: Final answer
    x = 4,328.00

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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.