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Finding the Fourth Proportional to 3,865.60, 5,830.40 and 3,609.60

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Solution

The fourth proportional to 3,865.60, 5,830.40 and 3,609.60 is: 5,444.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.60 : 5,830.40 = 3,609.60 : x
  2. Step 2: Convert to fraction form
    3,865.60/5,830.40 = 3,609.60/x
  3. Step 3: Cross multiply
    3,865.60x = 5,830.40 × 3,609.60
  4. Step 4: Simplify right side
    3,865.60x = 21,045,411.84
  5. Step 5: Solve for x
    x = 21,045,411.84/3,865.60
  6. Step 6: Final answer
    x = 5,444.28

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.