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Finding the Fourth Proportional to 5,210.16, 7,809.84 and 3,907.68

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Solution

The fourth proportional to 5,210.16, 7,809.84 and 3,907.68 is: 5,857.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.16 : 7,809.84 = 3,907.68 : x
  2. Step 2: Convert to fraction form
    5,210.16/7,809.84 = 3,907.68/x
  3. Step 3: Cross multiply
    5,210.16x = 7,809.84 × 3,907.68
  4. Step 4: Simplify right side
    5,210.16x = 30,518,355.57
  5. Step 5: Solve for x
    x = 30,518,355.57/5,210.16
  6. Step 6: Final answer
    x = 5,857.47

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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.