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Finding the Fourth Proportional to 4,657.34, 6,985.38 and 2,316.44

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Solution

The fourth proportional to 4,657.34, 6,985.38 and 2,316.44 is: 3,474.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.34 : 6,985.38 = 2,316.44 : x
  2. Step 2: Convert to fraction form
    4,657.34/6,985.38 = 2,316.44/x
  3. Step 3: Cross multiply
    4,657.34x = 6,985.38 × 2,316.44
  4. Step 4: Simplify right side
    4,657.34x = 16,181,213.65
  5. Step 5: Solve for x
    x = 16,181,213.65/4,657.34
  6. Step 6: Final answer
    x = 3,474.35

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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.