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Finding the Fourth Proportional to 4,909.83, 7,370.19 and 2,444.00

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Solution

The fourth proportional to 4,909.83, 7,370.19 and 2,444.00 is: 3,668.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,909.83 : 7,370.19 = 2,444.00 : x
  2. Step 2: Convert to fraction form
    4,909.83/7,370.19 = 2,444.00/x
  3. Step 3: Cross multiply
    4,909.83x = 7,370.19 × 2,444.00
  4. Step 4: Simplify right side
    4,909.83x = 18,012,707.51
  5. Step 5: Solve for x
    x = 18,012,707.51/4,909.83
  6. Step 6: Final answer
    x = 3,668.70

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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.