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Finding the Fourth Proportional to 3,781.16, 5,672.40 and 1,315.32

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Solution

The fourth proportional to 3,781.16, 5,672.40 and 1,315.32 is: 1,973.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.16 : 5,672.40 = 1,315.32 : x
  2. Step 2: Convert to fraction form
    3,781.16/5,672.40 = 1,315.32/x
  3. Step 3: Cross multiply
    3,781.16x = 5,672.40 × 1,315.32
  4. Step 4: Simplify right side
    3,781.16x = 7,461,021.17
  5. Step 5: Solve for x
    x = 7,461,021.17/3,781.16
  6. Step 6: Final answer
    x = 1,973.21

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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.