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Finding the Fourth Proportional to 5,210.36, 7,804.59 and 3,803.86

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Solution

The fourth proportional to 5,210.36, 7,804.59 and 3,803.86 is: 5,697.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.36 : 7,804.59 = 3,803.86 : x
  2. Step 2: Convert to fraction form
    5,210.36/7,804.59 = 3,803.86/x
  3. Step 3: Cross multiply
    5,210.36x = 7,804.59 × 3,803.86
  4. Step 4: Simplify right side
    5,210.36x = 29,687,563.21
  5. Step 5: Solve for x
    x = 29,687,563.21/5,210.36
  6. Step 6: Final answer
    x = 5,697.80

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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.