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Finding the Fourth Proportional to 4,992.91, 7,490.54 and 1,706.06

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Solution

The fourth proportional to 4,992.91, 7,490.54 and 1,706.06 is: 2,559.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,992.91 : 7,490.54 = 1,706.06 : x
  2. Step 2: Convert to fraction form
    4,992.91/7,490.54 = 1,706.06/x
  3. Step 3: Cross multiply
    4,992.91x = 7,490.54 × 1,706.06
  4. Step 4: Simplify right side
    4,992.91x = 12,779,333.66
  5. Step 5: Solve for x
    x = 12,779,333.66/4,992.91
  6. Step 6: Final answer
    x = 2,559.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.