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Finding the Fourth Proportional to 4,669.34, 7,004.69 and 1,382.00

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Solution

The fourth proportional to 4,669.34, 7,004.69 and 1,382.00 is: 2,073.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,669.34 : 7,004.69 = 1,382.00 : x
  2. Step 2: Convert to fraction form
    4,669.34/7,004.69 = 1,382.00/x
  3. Step 3: Cross multiply
    4,669.34x = 7,004.69 × 1,382.00
  4. Step 4: Simplify right side
    4,669.34x = 9,680,502.55
  5. Step 5: Solve for x
    x = 9,680,502.55/4,669.34
  6. Step 6: Final answer
    x = 2,073.20

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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.