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Finding the Fourth Proportional to 5,191.93, 7,788.93 and 1,905.06

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Solution

The fourth proportional to 5,191.93, 7,788.93 and 1,905.06 is: 2,857.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.93 : 7,788.93 = 1,905.06 : x
  2. Step 2: Convert to fraction form
    5,191.93/7,788.93 = 1,905.06/x
  3. Step 3: Cross multiply
    5,191.93x = 7,788.93 × 1,905.06
  4. Step 4: Simplify right side
    5,191.93x = 14,838,335.28
  5. Step 5: Solve for x
    x = 14,838,335.28/5,191.93
  6. Step 6: Final answer
    x = 2,857.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.