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Finding the Fourth Proportional to 4,670, 7,005.98 and 1,382.84

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Solution

The fourth proportional to 4,670, 7,005.98 and 1,382.84 is: 2,074.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670 : 7,005.98 = 1,382.84 : x
  2. Step 2: Convert to fraction form
    4,670/7,005.98 = 1,382.84/x
  3. Step 3: Cross multiply
    4,670x = 7,005.98 × 1,382.84
  4. Step 4: Simplify right side
    4,670x = 9,688,149.38
  5. Step 5: Solve for x
    x = 9,688,149.38/4,670
  6. Step 6: Final answer
    x = 2,074.55

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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.