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Finding the Fourth Proportional to 3,483.24, 5,223.60 and 1,017.42

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Solution

The fourth proportional to 3,483.24, 5,223.60 and 1,017.42 is: 1,525.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,483.24 : 5,223.60 = 1,017.42 : x
  2. Step 2: Convert to fraction form
    3,483.24/5,223.60 = 1,017.42/x
  3. Step 3: Cross multiply
    3,483.24x = 5,223.60 × 1,017.42
  4. Step 4: Simplify right side
    3,483.24x = 5,314,595.11
  5. Step 5: Solve for x
    x = 5,314,595.11/3,483.24
  6. Step 6: Final answer
    x = 1,525.76

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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.