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Finding the Fourth Proportional to 3,483.60, 5,226.76 and 1,534.43

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Solution

The fourth proportional to 3,483.60, 5,226.76 and 1,534.43 is: 2,302.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,483.60 : 5,226.76 = 1,534.43 : x
  2. Step 2: Convert to fraction form
    3,483.60/5,226.76 = 1,534.43/x
  3. Step 3: Cross multiply
    3,483.60x = 5,226.76 × 1,534.43
  4. Step 4: Simplify right side
    3,483.60x = 8,020,112.33
  5. Step 5: Solve for x
    x = 8,020,112.33/3,483.60
  6. Step 6: Final answer
    x = 2,302.25

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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.