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Finding the Fourth Proportional to 3,507.49, 5,263.13 and 1,316.04

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Solution

The fourth proportional to 3,507.49, 5,263.13 and 1,316.04 is: 1,974.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507.49 : 5,263.13 = 1,316.04 : x
  2. Step 2: Convert to fraction form
    3,507.49/5,263.13 = 1,316.04/x
  3. Step 3: Cross multiply
    3,507.49x = 5,263.13 × 1,316.04
  4. Step 4: Simplify right side
    3,507.49x = 6,926,489.61
  5. Step 5: Solve for x
    x = 6,926,489.61/3,507.49
  6. Step 6: Final answer
    x = 1,974.77

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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.