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Finding the Fourth Proportional to 3,376, 4,658.88 and 1,904

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Solution

The fourth proportional to 3,376, 4,658.88 and 1,904 is: 2,627.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,376 : 4,658.88 = 1,904 : x
  2. Step 2: Convert to fraction form
    3,376/4,658.88 = 1,904/x
  3. Step 3: Cross multiply
    3,376x = 4,658.88 × 1,904
  4. Step 4: Simplify right side
    3,376x = 8,870,507.52
  5. Step 5: Solve for x
    x = 8,870,507.52/3,376
  6. Step 6: Final answer
    x = 2,627.52

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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.