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Finding the Fourth Proportional to 3,804.28, 5,695.62 and 2,501.80

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Solution

The fourth proportional to 3,804.28, 5,695.62 and 2,501.80 is: 3,745.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.28 : 5,695.62 = 2,501.80 : x
  2. Step 2: Convert to fraction form
    3,804.28/5,695.62 = 2,501.80/x
  3. Step 3: Cross multiply
    3,804.28x = 5,695.62 × 2,501.80
  4. Step 4: Simplify right side
    3,804.28x = 14,249,302.12
  5. Step 5: Solve for x
    x = 14,249,302.12/3,804.28
  6. Step 6: Final answer
    x = 3,745.60

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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.