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Finding the Fourth Proportional to 3,646.07, 5,471.75 and 1,455.42

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Solution

The fourth proportional to 3,646.07, 5,471.75 and 1,455.42 is: 2,184.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.07 : 5,471.75 = 1,455.42 : x
  2. Step 2: Convert to fraction form
    3,646.07/5,471.75 = 1,455.42/x
  3. Step 3: Cross multiply
    3,646.07x = 5,471.75 × 1,455.42
  4. Step 4: Simplify right side
    3,646.07x = 7,963,687.11
  5. Step 5: Solve for x
    x = 7,963,687.11/3,646.07
  6. Step 6: Final answer
    x = 2,184.19

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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.