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Finding the Fourth Proportional to 3,783.63, 5,669.17 and 1,317.12

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Solution

The fourth proportional to 3,783.63, 5,669.17 and 1,317.12 is: 1,973.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.63 : 5,669.17 = 1,317.12 : x
  2. Step 2: Convert to fraction form
    3,783.63/5,669.17 = 1,317.12/x
  3. Step 3: Cross multiply
    3,783.63x = 5,669.17 × 1,317.12
  4. Step 4: Simplify right side
    3,783.63x = 7,466,977.19
  5. Step 5: Solve for x
    x = 7,466,977.19/3,783.63
  6. Step 6: Final answer
    x = 1,973.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.