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Finding the Fourth Proportional to 3,482.98, 5,224.62 and 1,290.52

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Solution

The fourth proportional to 3,482.98, 5,224.62 and 1,290.52 is: 1,935.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.98 : 5,224.62 = 1,290.52 : x
  2. Step 2: Convert to fraction form
    3,482.98/5,224.62 = 1,290.52/x
  3. Step 3: Cross multiply
    3,482.98x = 5,224.62 × 1,290.52
  4. Step 4: Simplify right side
    3,482.98x = 6,742,476.60
  5. Step 5: Solve for x
    x = 6,742,476.60/3,482.98
  6. Step 6: Final answer
    x = 1,935.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.