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Finding the Fourth Proportional to 5,948.24, 8,208.48 and 3,852.32

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Solution

The fourth proportional to 5,948.24, 8,208.48 and 3,852.32 is: 5,316.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,948.24 : 8,208.48 = 3,852.32 : x
  2. Step 2: Convert to fraction form
    5,948.24/8,208.48 = 3,852.32/x
  3. Step 3: Cross multiply
    5,948.24x = 8,208.48 × 3,852.32
  4. Step 4: Simplify right side
    5,948.24x = 31,621,691.67
  5. Step 5: Solve for x
    x = 31,621,691.67/5,948.24
  6. Step 6: Final answer
    x = 5,316.14

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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.