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Finding the Fourth Proportional to 5,848.40, 8,774.04 and 4,120.40

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Solution

The fourth proportional to 5,848.40, 8,774.04 and 4,120.40 is: 6,181.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,848.40 : 8,774.04 = 4,120.40 : x
  2. Step 2: Convert to fraction form
    5,848.40/8,774.04 = 4,120.40/x
  3. Step 3: Cross multiply
    5,848.40x = 8,774.04 × 4,120.40
  4. Step 4: Simplify right side
    5,848.40x = 36,152,554.42
  5. Step 5: Solve for x
    x = 36,152,554.42/5,848.40
  6. Step 6: Final answer
    x = 6,181.61

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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.