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Finding the Fourth Proportional to 4,670.28, 7,006.10 and 1,382.94

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Solution

The fourth proportional to 4,670.28, 7,006.10 and 1,382.94 is: 2,074.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670.28 : 7,006.10 = 1,382.94 : x
  2. Step 2: Convert to fraction form
    4,670.28/7,006.10 = 1,382.94/x
  3. Step 3: Cross multiply
    4,670.28x = 7,006.10 × 1,382.94
  4. Step 4: Simplify right side
    4,670.28x = 9,689,009.02
  5. Step 5: Solve for x
    x = 9,689,009.02/4,670.28
  6. Step 6: Final answer
    x = 2,074.61

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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.