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Finding the Fourth Proportional to 3,085.84, 4,629.04 and 1,138.16

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Solution

The fourth proportional to 3,085.84, 4,629.04 and 1,138.16 is: 1,707.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,085.84 : 4,629.04 = 1,138.16 : x
  2. Step 2: Convert to fraction form
    3,085.84/4,629.04 = 1,138.16/x
  3. Step 3: Cross multiply
    3,085.84x = 4,629.04 × 1,138.16
  4. Step 4: Simplify right side
    3,085.84x = 5,268,588.17
  5. Step 5: Solve for x
    x = 5,268,588.17/3,085.84
  6. Step 6: Final answer
    x = 1,707.34

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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.