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Finding the Fourth Proportional to 3,165.12, 4,744.53 and 1,315.08

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Solution

The fourth proportional to 3,165.12, 4,744.53 and 1,315.08 is: 1,971.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.12 : 4,744.53 = 1,315.08 : x
  2. Step 2: Convert to fraction form
    3,165.12/4,744.53 = 1,315.08/x
  3. Step 3: Cross multiply
    3,165.12x = 4,744.53 × 1,315.08
  4. Step 4: Simplify right side
    3,165.12x = 6,239,436.51
  5. Step 5: Solve for x
    x = 6,239,436.51/3,165.12
  6. Step 6: Final answer
    x = 1,971.31

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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.