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Finding the Fourth Proportional to 4,985.40, 7,477.20 and 3,133.20

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Solution

The fourth proportional to 4,985.40, 7,477.20 and 3,133.20 is: 4,699.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,985.40 : 7,477.20 = 3,133.20 : x
  2. Step 2: Convert to fraction form
    4,985.40/7,477.20 = 3,133.20/x
  3. Step 3: Cross multiply
    4,985.40x = 7,477.20 × 3,133.20
  4. Step 4: Simplify right side
    4,985.40x = 23,427,563.04
  5. Step 5: Solve for x
    x = 23,427,563.04/4,985.40
  6. Step 6: Final answer
    x = 4,699.23

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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.