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Finding the Fourth Proportional to 5,848.83, 8,770.91 and 2,048.51

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Solution

The fourth proportional to 5,848.83, 8,770.91 and 2,048.51 is: 3,071.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,848.83 : 8,770.91 = 2,048.51 : x
  2. Step 2: Convert to fraction form
    5,848.83/8,770.91 = 2,048.51/x
  3. Step 3: Cross multiply
    5,848.83x = 8,770.91 × 2,048.51
  4. Step 4: Simplify right side
    5,848.83x = 17,967,242.75
  5. Step 5: Solve for x
    x = 17,967,242.75/5,848.83
  6. Step 6: Final answer
    x = 3,071.94

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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.