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Finding the Fourth Proportional to 4,816.75, 7,225.13 and 1,354

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Solution

The fourth proportional to 4,816.75, 7,225.13 and 1,354 is: 2,031.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,816.75 : 7,225.13 = 1,354 : x
  2. Step 2: Convert to fraction form
    4,816.75/7,225.13 = 1,354/x
  3. Step 3: Cross multiply
    4,816.75x = 7,225.13 × 1,354
  4. Step 4: Simplify right side
    4,816.75x = 9,782,826.02
  5. Step 5: Solve for x
    x = 9,782,826.02/4,816.75
  6. Step 6: Final answer
    x = 2,031.00

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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.