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Finding the Fourth Proportional to 3,483.60, 5,225.54 and 1,143.92

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Solution

The fourth proportional to 3,483.60, 5,225.54 and 1,143.92 is: 1,715.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,483.60 : 5,225.54 = 1,143.92 : x
  2. Step 2: Convert to fraction form
    3,483.60/5,225.54 = 1,143.92/x
  3. Step 3: Cross multiply
    3,483.60x = 5,225.54 × 1,143.92
  4. Step 4: Simplify right side
    3,483.60x = 5,977,567.87
  5. Step 5: Solve for x
    x = 5,977,567.87/3,483.60
  6. Step 6: Final answer
    x = 1,715.92

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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.