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Finding the Fourth Proportional to 5,210.76, 7,804.56 and 3,727.22

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Solution

The fourth proportional to 5,210.76, 7,804.56 and 3,727.22 is: 5,582.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.76 : 7,804.56 = 3,727.22 : x
  2. Step 2: Convert to fraction form
    5,210.76/7,804.56 = 3,727.22/x
  3. Step 3: Cross multiply
    5,210.76x = 7,804.56 × 3,727.22
  4. Step 4: Simplify right side
    5,210.76x = 29,089,312.12
  5. Step 5: Solve for x
    x = 29,089,312.12/5,210.76
  6. Step 6: Final answer
    x = 5,582.55

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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.