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Finding the Fourth Proportional to 3,409.48, 5,116.04 and 1,461.84

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Solution

The fourth proportional to 3,409.48, 5,116.04 and 1,461.84 is: 2,193.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.48 : 5,116.04 = 1,461.84 : x
  2. Step 2: Convert to fraction form
    3,409.48/5,116.04 = 1,461.84/x
  3. Step 3: Cross multiply
    3,409.48x = 5,116.04 × 1,461.84
  4. Step 4: Simplify right side
    3,409.48x = 7,478,831.91
  5. Step 5: Solve for x
    x = 7,478,831.91/3,409.48
  6. Step 6: Final answer
    x = 2,193.54

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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.