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Finding the Fourth Proportional to 5,985.40, 8,986.20 and 3,798.40

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Solution

The fourth proportional to 5,985.40, 8,986.20 and 3,798.40 is: 5,702.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,985.40 : 8,986.20 = 3,798.40 : x
  2. Step 2: Convert to fraction form
    5,985.40/8,986.20 = 3,798.40/x
  3. Step 3: Cross multiply
    5,985.40x = 8,986.20 × 3,798.40
  4. Step 4: Simplify right side
    5,985.40x = 34,133,182.08
  5. Step 5: Solve for x
    x = 34,133,182.08/5,985.40
  6. Step 6: Final answer
    x = 5,702.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.