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Finding the Fourth Proportional to 5,075.96, 7,607.10 and 2,153.48

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Solution

The fourth proportional to 5,075.96, 7,607.10 and 2,153.48 is: 3,227.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,075.96 : 7,607.10 = 2,153.48 : x
  2. Step 2: Convert to fraction form
    5,075.96/7,607.10 = 2,153.48/x
  3. Step 3: Cross multiply
    5,075.96x = 7,607.10 × 2,153.48
  4. Step 4: Simplify right side
    5,075.96x = 16,381,737.71
  5. Step 5: Solve for x
    x = 16,381,737.71/5,075.96
  6. Step 6: Final answer
    x = 3,227.32

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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.