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Finding the Fourth Proportional to 3,607.04, 5,409.48 and 1,298

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Solution

The fourth proportional to 3,607.04, 5,409.48 and 1,298 is: 1,946.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607.04 : 5,409.48 = 1,298 : x
  2. Step 2: Convert to fraction form
    3,607.04/5,409.48 = 1,298/x
  3. Step 3: Cross multiply
    3,607.04x = 5,409.48 × 1,298
  4. Step 4: Simplify right side
    3,607.04x = 7,021,505.04
  5. Step 5: Solve for x
    x = 7,021,505.04/3,607.04
  6. Step 6: Final answer
    x = 1,946.61

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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.