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Finding the Fourth Proportional to 4,075.84, 6,113.76 and 1,611.84

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Solution

The fourth proportional to 4,075.84, 6,113.76 and 1,611.84 is: 2,417.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,075.84 : 6,113.76 = 1,611.84 : x
  2. Step 2: Convert to fraction form
    4,075.84/6,113.76 = 1,611.84/x
  3. Step 3: Cross multiply
    4,075.84x = 6,113.76 × 1,611.84
  4. Step 4: Simplify right side
    4,075.84x = 9,854,402.92
  5. Step 5: Solve for x
    x = 9,854,402.92/4,075.84
  6. Step 6: Final answer
    x = 2,417.76

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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.