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Finding the Fourth Proportional to 5,075.68, 7,614.42 and 1,790.68

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Solution

The fourth proportional to 5,075.68, 7,614.42 and 1,790.68 is: 2,686.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,075.68 : 7,614.42 = 1,790.68 : x
  2. Step 2: Convert to fraction form
    5,075.68/7,614.42 = 1,790.68/x
  3. Step 3: Cross multiply
    5,075.68x = 7,614.42 × 1,790.68
  4. Step 4: Simplify right side
    5,075.68x = 13,634,989.61
  5. Step 5: Solve for x
    x = 13,634,989.61/5,075.68
  6. Step 6: Final answer
    x = 2,686.34

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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.