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Finding the Fourth Proportional to 3,970.41, 5,950.14 and 3,784.51

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Solution

The fourth proportional to 3,970.41, 5,950.14 and 3,784.51 is: 5,671.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.41 : 5,950.14 = 3,784.51 : x
  2. Step 2: Convert to fraction form
    3,970.41/5,950.14 = 3,784.51/x
  3. Step 3: Cross multiply
    3,970.41x = 5,950.14 × 3,784.51
  4. Step 4: Simplify right side
    3,970.41x = 22,518,364.33
  5. Step 5: Solve for x
    x = 22,518,364.33/3,970.41
  6. Step 6: Final answer
    x = 5,671.55

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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.