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Finding the Fourth Proportional to 4,537.61, 6,793.43 and 3,074.16

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Solution

The fourth proportional to 4,537.61, 6,793.43 and 3,074.16 is: 4,602.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,537.61 : 6,793.43 = 3,074.16 : x
  2. Step 2: Convert to fraction form
    4,537.61/6,793.43 = 3,074.16/x
  3. Step 3: Cross multiply
    4,537.61x = 6,793.43 × 3,074.16
  4. Step 4: Simplify right side
    4,537.61x = 20,884,075.40
  5. Step 5: Solve for x
    x = 20,884,075.40/4,537.61
  6. Step 6: Final answer
    x = 4,602.44

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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.