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Finding the Fourth Proportional to 4,705.10, 7,016.54 and 4,122.81

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Solution

The fourth proportional to 4,705.10, 7,016.54 and 4,122.81 is: 6,148.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.10 : 7,016.54 = 4,122.81 : x
  2. Step 2: Convert to fraction form
    4,705.10/7,016.54 = 4,122.81/x
  3. Step 3: Cross multiply
    4,705.10x = 7,016.54 × 4,122.81
  4. Step 4: Simplify right side
    4,705.10x = 28,927,840.66
  5. Step 5: Solve for x
    x = 28,927,840.66/4,705.10
  6. Step 6: Final answer
    x = 6,148.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.