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Finding the Fourth Proportional to 4,137.07, 5,709 and 2,368.84

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Solution

The fourth proportional to 4,137.07, 5,709 and 2,368.84 is: 3,268.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137.07 : 5,709 = 2,368.84 : x
  2. Step 2: Convert to fraction form
    4,137.07/5,709 = 2,368.84/x
  3. Step 3: Cross multiply
    4,137.07x = 5,709 × 2,368.84
  4. Step 4: Simplify right side
    4,137.07x = 13,523,707.56
  5. Step 5: Solve for x
    x = 13,523,707.56/4,137.07
  6. Step 6: Final answer
    x = 3,268.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.