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Finding the Fourth Proportional to 4,690.40, 7,036.50 and 1,403.21

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Solution

The fourth proportional to 4,690.40, 7,036.50 and 1,403.21 is: 2,105.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,690.40 : 7,036.50 = 1,403.21 : x
  2. Step 2: Convert to fraction form
    4,690.40/7,036.50 = 1,403.21/x
  3. Step 3: Cross multiply
    4,690.40x = 7,036.50 × 1,403.21
  4. Step 4: Simplify right side
    4,690.40x = 9,873,651.98
  5. Step 5: Solve for x
    x = 9,873,651.98/4,690.40
  6. Step 6: Final answer
    x = 2,105.08

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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.