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Finding the Fourth Proportional to 5,684.44, 7,848.12 and 4,355.68

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Solution

The fourth proportional to 5,684.44, 7,848.12 and 4,355.68 is: 6,013.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.44 : 7,848.12 = 4,355.68 : x
  2. Step 2: Convert to fraction form
    5,684.44/7,848.12 = 4,355.68/x
  3. Step 3: Cross multiply
    5,684.44x = 7,848.12 × 4,355.68
  4. Step 4: Simplify right side
    5,684.44x = 34,183,899.32
  5. Step 5: Solve for x
    x = 34,183,899.32/5,684.44
  6. Step 6: Final answer
    x = 6,013.59

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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.