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Finding the Fourth Proportional to 3,515.76, 4,852.02 and 2,024.16

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Solution

The fourth proportional to 3,515.76, 4,852.02 and 2,024.16 is: 2,793.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,515.76 : 4,852.02 = 2,024.16 : x
  2. Step 2: Convert to fraction form
    3,515.76/4,852.02 = 2,024.16/x
  3. Step 3: Cross multiply
    3,515.76x = 4,852.02 × 2,024.16
  4. Step 4: Simplify right side
    3,515.76x = 9,821,264.80
  5. Step 5: Solve for x
    x = 9,821,264.80/3,515.76
  6. Step 6: Final answer
    x = 2,793.50

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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.