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Finding the Fourth Proportional to 3,242.16, 4,862.40 and 933.12

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Solution

The fourth proportional to 3,242.16, 4,862.40 and 933.12 is: 1,399.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,242.16 : 4,862.40 = 933.12 : x
  2. Step 2: Convert to fraction form
    3,242.16/4,862.40 = 933.12/x
  3. Step 3: Cross multiply
    3,242.16x = 4,862.40 × 933.12
  4. Step 4: Simplify right side
    3,242.16x = 4,537,202.69
  5. Step 5: Solve for x
    x = 4,537,202.69/3,242.16
  6. Step 6: Final answer
    x = 1,399.44

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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.