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Finding the Fourth Proportional to 5,848.90, 8,774.88 and 2,562.64

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Solution

The fourth proportional to 5,848.90, 8,774.88 and 2,562.64 is: 3,844.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,848.90 : 8,774.88 = 2,562.64 : x
  2. Step 2: Convert to fraction form
    5,848.90/8,774.88 = 2,562.64/x
  3. Step 3: Cross multiply
    5,848.90x = 8,774.88 × 2,562.64
  4. Step 4: Simplify right side
    5,848.90x = 22,486,858.48
  5. Step 5: Solve for x
    x = 22,486,858.48/5,848.90
  6. Step 6: Final answer
    x = 3,844.63

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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.