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Finding the Fourth Proportional to 5,235.08, 7,853.00 and 1,948.17

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Solution

The fourth proportional to 5,235.08, 7,853.00 and 1,948.17 is: 2,922.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235.08 : 7,853.00 = 1,948.17 : x
  2. Step 2: Convert to fraction form
    5,235.08/7,853.00 = 1,948.17/x
  3. Step 3: Cross multiply
    5,235.08x = 7,853.00 × 1,948.17
  4. Step 4: Simplify right side
    5,235.08x = 15,299,013.33
  5. Step 5: Solve for x
    x = 15,299,013.33/5,235.08
  6. Step 6: Final answer
    x = 2,922.40

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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.