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Finding the Fourth Proportional to 4,705.72, 6,490.94 and 3,029.32

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Solution

The fourth proportional to 4,705.72, 6,490.94 and 3,029.32 is: 4,178.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.72 : 6,490.94 = 3,029.32 : x
  2. Step 2: Convert to fraction form
    4,705.72/6,490.94 = 3,029.32/x
  3. Step 3: Cross multiply
    4,705.72x = 6,490.94 × 3,029.32
  4. Step 4: Simplify right side
    4,705.72x = 19,663,134.36
  5. Step 5: Solve for x
    x = 19,663,134.36/4,705.72
  6. Step 6: Final answer
    x = 4,178.56

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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.