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Finding the Fourth Proportional to 3,482.59, 5,220.69 and 1,506.99

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Solution

The fourth proportional to 3,482.59, 5,220.69 and 1,506.99 is: 2,259.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.59 : 5,220.69 = 1,506.99 : x
  2. Step 2: Convert to fraction form
    3,482.59/5,220.69 = 1,506.99/x
  3. Step 3: Cross multiply
    3,482.59x = 5,220.69 × 1,506.99
  4. Step 4: Simplify right side
    3,482.59x = 7,867,527.62
  5. Step 5: Solve for x
    x = 7,867,527.62/3,482.59
  6. Step 6: Final answer
    x = 2,259.10

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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.