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Finding the Fourth Proportional to 5,836.32, 8,046 and 3,970.08

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Solution

The fourth proportional to 5,836.32, 8,046 and 3,970.08 is: 5,473.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836.32 : 8,046 = 3,970.08 : x
  2. Step 2: Convert to fraction form
    5,836.32/8,046 = 3,970.08/x
  3. Step 3: Cross multiply
    5,836.32x = 8,046 × 3,970.08
  4. Step 4: Simplify right side
    5,836.32x = 31,943,263.68
  5. Step 5: Solve for x
    x = 31,943,263.68/5,836.32
  6. Step 6: Final answer
    x = 5,473.19

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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.