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Finding the Fourth Proportional to 3,473.98, 5,209.40 and 1,281.16

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Solution

The fourth proportional to 3,473.98, 5,209.40 and 1,281.16 is: 1,921.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.98 : 5,209.40 = 1,281.16 : x
  2. Step 2: Convert to fraction form
    3,473.98/5,209.40 = 1,281.16/x
  3. Step 3: Cross multiply
    3,473.98x = 5,209.40 × 1,281.16
  4. Step 4: Simplify right side
    3,473.98x = 6,674,068.50
  5. Step 5: Solve for x
    x = 6,674,068.50/3,473.98
  6. Step 6: Final answer
    x = 1,921.16

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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.