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Finding the Fourth Proportional to 5,438.46, 7,506 and 3,080.10

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Solution

The fourth proportional to 5,438.46, 7,506 and 3,080.10 is: 4,251.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,438.46 : 7,506 = 3,080.10 : x
  2. Step 2: Convert to fraction form
    5,438.46/7,506 = 3,080.10/x
  3. Step 3: Cross multiply
    5,438.46x = 7,506 × 3,080.10
  4. Step 4: Simplify right side
    5,438.46x = 23,119,230.60
  5. Step 5: Solve for x
    x = 23,119,230.60/5,438.46
  6. Step 6: Final answer
    x = 4,251.06

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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.