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Finding the Fourth Proportional to 3,657.38, 5,482.80 and 1,316.84

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Solution

The fourth proportional to 3,657.38, 5,482.80 and 1,316.84 is: 1,974.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.38 : 5,482.80 = 1,316.84 : x
  2. Step 2: Convert to fraction form
    3,657.38/5,482.80 = 1,316.84/x
  3. Step 3: Cross multiply
    3,657.38x = 5,482.80 × 1,316.84
  4. Step 4: Simplify right side
    3,657.38x = 7,219,960.21
  5. Step 5: Solve for x
    x = 7,219,960.21/3,657.38
  6. Step 6: Final answer
    x = 1,974.08

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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.