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Finding the Fourth Proportional to 5,465.95, 7,542.77 and 3,075.89

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Solution

The fourth proportional to 5,465.95, 7,542.77 and 3,075.89 is: 4,244.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,465.95 : 7,542.77 = 3,075.89 : x
  2. Step 2: Convert to fraction form
    5,465.95/7,542.77 = 3,075.89/x
  3. Step 3: Cross multiply
    5,465.95x = 7,542.77 × 3,075.89
  4. Step 4: Simplify right side
    5,465.95x = 23,200,737.45
  5. Step 5: Solve for x
    x = 23,200,737.45/5,465.95
  6. Step 6: Final answer
    x = 4,244.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.