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Finding the Fourth Proportional to 5,705.68, 7,858.08 and 4,919.44

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Solution

The fourth proportional to 5,705.68, 7,858.08 and 4,919.44 is: 6,775.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705.68 : 7,858.08 = 4,919.44 : x
  2. Step 2: Convert to fraction form
    5,705.68/7,858.08 = 4,919.44/x
  3. Step 3: Cross multiply
    5,705.68x = 7,858.08 × 4,919.44
  4. Step 4: Simplify right side
    5,705.68x = 38,657,353.08
  5. Step 5: Solve for x
    x = 38,657,353.08/5,705.68
  6. Step 6: Final answer
    x = 6,775.24

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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.