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Finding the Fourth Proportional to 3,614.04, 5,420.28 and 1,017.12

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Solution

The fourth proportional to 3,614.04, 5,420.28 and 1,017.12 is: 1,525.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.04 : 5,420.28 = 1,017.12 : x
  2. Step 2: Convert to fraction form
    3,614.04/5,420.28 = 1,017.12/x
  3. Step 3: Cross multiply
    3,614.04x = 5,420.28 × 1,017.12
  4. Step 4: Simplify right side
    3,614.04x = 5,513,075.19
  5. Step 5: Solve for x
    x = 5,513,075.19/3,614.04
  6. Step 6: Final answer
    x = 1,525.46

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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.