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Finding the Fourth Proportional to 4,852.86, 7,280.19 and 3,210.78

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Solution

The fourth proportional to 4,852.86, 7,280.19 and 3,210.78 is: 4,816.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,852.86 : 7,280.19 = 3,210.78 : x
  2. Step 2: Convert to fraction form
    4,852.86/7,280.19 = 3,210.78/x
  3. Step 3: Cross multiply
    4,852.86x = 7,280.19 × 3,210.78
  4. Step 4: Simplify right side
    4,852.86x = 23,375,088.45
  5. Step 5: Solve for x
    x = 23,375,088.45/4,852.86
  6. Step 6: Final answer
    x = 4,816.77

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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.