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Finding the Fourth Proportional to 4,478.63, 6,715.34 and 1,705.49

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Solution

The fourth proportional to 4,478.63, 6,715.34 and 1,705.49 is: 2,557.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,478.63 : 6,715.34 = 1,705.49 : x
  2. Step 2: Convert to fraction form
    4,478.63/6,715.34 = 1,705.49/x
  3. Step 3: Cross multiply
    4,478.63x = 6,715.34 × 1,705.49
  4. Step 4: Simplify right side
    4,478.63x = 11,452,945.22
  5. Step 5: Solve for x
    x = 11,452,945.22/4,478.63
  6. Step 6: Final answer
    x = 2,557.24

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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.