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Finding the Fourth Proportional to 4,336.32, 5,970.24 and 3,784.32

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Solution

The fourth proportional to 4,336.32, 5,970.24 and 3,784.32 is: 5,210.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,336.32 : 5,970.24 = 3,784.32 : x
  2. Step 2: Convert to fraction form
    4,336.32/5,970.24 = 3,784.32/x
  3. Step 3: Cross multiply
    4,336.32x = 5,970.24 × 3,784.32
  4. Step 4: Simplify right side
    4,336.32x = 22,593,298.64
  5. Step 5: Solve for x
    x = 22,593,298.64/4,336.32
  6. Step 6: Final answer
    x = 5,210.25

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