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Finding the Fourth Proportional to 5,345.12, 8,017.02 and 1,449.80

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Solution

The fourth proportional to 5,345.12, 8,017.02 and 1,449.80 is: 2,174.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,345.12 : 8,017.02 = 1,449.80 : x
  2. Step 2: Convert to fraction form
    5,345.12/8,017.02 = 1,449.80/x
  3. Step 3: Cross multiply
    5,345.12x = 8,017.02 × 1,449.80
  4. Step 4: Simplify right side
    5,345.12x = 11,623,075.60
  5. Step 5: Solve for x
    x = 11,623,075.60/5,345.12
  6. Step 6: Final answer
    x = 2,174.52

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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.