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Finding the Fourth Proportional to 3,781.36, 5,669.60 and 1,316

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Solution

The fourth proportional to 3,781.36, 5,669.60 and 1,316 is: 1,973.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.36 : 5,669.60 = 1,316 : x
  2. Step 2: Convert to fraction form
    3,781.36/5,669.60 = 1,316/x
  3. Step 3: Cross multiply
    3,781.36x = 5,669.60 × 1,316
  4. Step 4: Simplify right side
    3,781.36x = 7,461,193.60
  5. Step 5: Solve for x
    x = 7,461,193.60/3,781.36
  6. Step 6: Final answer
    x = 1,973.15

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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.