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Finding the Fourth Proportional to 3,652.98, 5,483.37 and 1,574.01

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Solution

The fourth proportional to 3,652.98, 5,483.37 and 1,574.01 is: 2,362.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.98 : 5,483.37 = 1,574.01 : x
  2. Step 2: Convert to fraction form
    3,652.98/5,483.37 = 1,574.01/x
  3. Step 3: Cross multiply
    3,652.98x = 5,483.37 × 1,574.01
  4. Step 4: Simplify right side
    3,652.98x = 8,630,879.21
  5. Step 5: Solve for x
    x = 8,630,879.21/3,652.98
  6. Step 6: Final answer
    x = 2,362.70

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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.