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Finding the Fourth Proportional to 3,313.64, 4,969.58 and 1,005.16

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Solution

The fourth proportional to 3,313.64, 4,969.58 and 1,005.16 is: 1,507.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,313.64 : 4,969.58 = 1,005.16 : x
  2. Step 2: Convert to fraction form
    3,313.64/4,969.58 = 1,005.16/x
  3. Step 3: Cross multiply
    3,313.64x = 4,969.58 × 1,005.16
  4. Step 4: Simplify right side
    3,313.64x = 4,995,223.03
  5. Step 5: Solve for x
    x = 4,995,223.03/3,313.64
  6. Step 6: Final answer
    x = 1,507.47

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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.