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Finding the Fourth Proportional to 4,554.51, 6,830.52 and 1,956.84

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Solution

The fourth proportional to 4,554.51, 6,830.52 and 1,956.84 is: 2,934.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,554.51 : 6,830.52 = 1,956.84 : x
  2. Step 2: Convert to fraction form
    4,554.51/6,830.52 = 1,956.84/x
  3. Step 3: Cross multiply
    4,554.51x = 6,830.52 × 1,956.84
  4. Step 4: Simplify right side
    4,554.51x = 13,366,234.76
  5. Step 5: Solve for x
    x = 13,366,234.76/4,554.51
  6. Step 6: Final answer
    x = 2,934.73

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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.