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Finding the Fourth Proportional to 5,886.12, 8,830.48 and 1,938.60

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Solution

The fourth proportional to 5,886.12, 8,830.48 and 1,938.60 is: 2,908.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886.12 : 8,830.48 = 1,938.60 : x
  2. Step 2: Convert to fraction form
    5,886.12/8,830.48 = 1,938.60/x
  3. Step 3: Cross multiply
    5,886.12x = 8,830.48 × 1,938.60
  4. Step 4: Simplify right side
    5,886.12x = 17,118,768.53
  5. Step 5: Solve for x
    x = 17,118,768.53/5,886.12
  6. Step 6: Final answer
    x = 2,908.33

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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.