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Finding the Fourth Proportional to 3,913, 5,870.13 and 1,316.56

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Solution

The fourth proportional to 3,913, 5,870.13 and 1,316.56 is: 1,975.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,913 : 5,870.13 = 1,316.56 : x
  2. Step 2: Convert to fraction form
    3,913/5,870.13 = 1,316.56/x
  3. Step 3: Cross multiply
    3,913x = 5,870.13 × 1,316.56
  4. Step 4: Simplify right side
    3,913x = 7,728,378.35
  5. Step 5: Solve for x
    x = 7,728,378.35/3,913
  6. Step 6: Final answer
    x = 1,975.05

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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.