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Finding the Fourth Proportional to 5,985.30, 8,258.46 and 3,627

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Solution

The fourth proportional to 5,985.30, 8,258.46 and 3,627 is: 5,004.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,985.30 : 8,258.46 = 3,627 : x
  2. Step 2: Convert to fraction form
    5,985.30/8,258.46 = 3,627/x
  3. Step 3: Cross multiply
    5,985.30x = 8,258.46 × 3,627
  4. Step 4: Simplify right side
    5,985.30x = 29,953,434.42
  5. Step 5: Solve for x
    x = 29,953,434.42/5,985.30
  6. Step 6: Final answer
    x = 5,004.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.