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Finding the Fourth Proportional to 3,153.76, 4,730.59 and 1,075.21

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Solution

The fourth proportional to 3,153.76, 4,730.59 and 1,075.21 is: 1,612.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.76 : 4,730.59 = 1,075.21 : x
  2. Step 2: Convert to fraction form
    3,153.76/4,730.59 = 1,075.21/x
  3. Step 3: Cross multiply
    3,153.76x = 4,730.59 × 1,075.21
  4. Step 4: Simplify right side
    3,153.76x = 5,086,363.16
  5. Step 5: Solve for x
    x = 5,086,363.16/3,153.76
  6. Step 6: Final answer
    x = 1,612.79

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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.