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Finding the Fourth Proportional to 3,586.02, 4,935.24 and 3,033.74

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Solution

The fourth proportional to 3,586.02, 4,935.24 and 3,033.74 is: 4,175.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.02 : 4,935.24 = 3,033.74 : x
  2. Step 2: Convert to fraction form
    3,586.02/4,935.24 = 3,033.74/x
  3. Step 3: Cross multiply
    3,586.02x = 4,935.24 × 3,033.74
  4. Step 4: Simplify right side
    3,586.02x = 14,972,210.32
  5. Step 5: Solve for x
    x = 14,972,210.32/3,586.02
  6. Step 6: Final answer
    x = 4,175.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.