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Finding the Fourth Proportional to 4,484.90, 6,705.98 and 4,092.77

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Solution

The fourth proportional to 4,484.90, 6,705.98 and 4,092.77 is: 6,119.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,484.90 : 6,705.98 = 4,092.77 : x
  2. Step 2: Convert to fraction form
    4,484.90/6,705.98 = 4,092.77/x
  3. Step 3: Cross multiply
    4,484.90x = 6,705.98 × 4,092.77
  4. Step 4: Simplify right side
    4,484.90x = 27,446,068.44
  5. Step 5: Solve for x
    x = 27,446,068.44/4,484.90
  6. Step 6: Final answer
    x = 6,119.66

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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.