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Finding the Fourth Proportional to 5,848.51, 8,071.49 and 3,196.31

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Solution

The fourth proportional to 5,848.51, 8,071.49 and 3,196.31 is: 4,411.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,848.51 : 8,071.49 = 3,196.31 : x
  2. Step 2: Convert to fraction form
    5,848.51/8,071.49 = 3,196.31/x
  3. Step 3: Cross multiply
    5,848.51x = 8,071.49 × 3,196.31
  4. Step 4: Simplify right side
    5,848.51x = 25,798,984.20
  5. Step 5: Solve for x
    x = 25,798,984.20/5,848.51
  6. Step 6: Final answer
    x = 4,411.21

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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.