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Finding the Fourth Proportional to 5,074.64, 7,005.12 and 3,677.12

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Solution

The fourth proportional to 5,074.64, 7,005.12 and 3,677.12 is: 5,075.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,074.64 : 7,005.12 = 3,677.12 : x
  2. Step 2: Convert to fraction form
    5,074.64/7,005.12 = 3,677.12/x
  3. Step 3: Cross multiply
    5,074.64x = 7,005.12 × 3,677.12
  4. Step 4: Simplify right side
    5,074.64x = 25,758,666.85
  5. Step 5: Solve for x
    x = 25,758,666.85/5,074.64
  6. Step 6: Final answer
    x = 5,075.96

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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.