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Finding the Fourth Proportional to 4,657.35, 6,985.82 and 1,147.19

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Solution

The fourth proportional to 4,657.35, 6,985.82 and 1,147.19 is: 1,720.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.35 : 6,985.82 = 1,147.19 : x
  2. Step 2: Convert to fraction form
    4,657.35/6,985.82 = 1,147.19/x
  3. Step 3: Cross multiply
    4,657.35x = 6,985.82 × 1,147.19
  4. Step 4: Simplify right side
    4,657.35x = 8,014,047.21
  5. Step 5: Solve for x
    x = 8,014,047.21/4,657.35
  6. Step 6: Final answer
    x = 1,720.73

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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.