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Finding the Fourth Proportional to 3,905.04, 5,858.40 and 1,308

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Solution

The fourth proportional to 3,905.04, 5,858.40 and 1,308 is: 1,962.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.04 : 5,858.40 = 1,308 : x
  2. Step 2: Convert to fraction form
    3,905.04/5,858.40 = 1,308/x
  3. Step 3: Cross multiply
    3,905.04x = 5,858.40 × 1,308
  4. Step 4: Simplify right side
    3,905.04x = 7,662,787.20
  5. Step 5: Solve for x
    x = 7,662,787.20/3,905.04
  6. Step 6: Final answer
    x = 1,962.28

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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.