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Finding the Fourth Proportional to 3,729.09, 5,588.19 and 3,319.05

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Solution

The fourth proportional to 3,729.09, 5,588.19 and 3,319.05 is: 4,973.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.09 : 5,588.19 = 3,319.05 : x
  2. Step 2: Convert to fraction form
    3,729.09/5,588.19 = 3,319.05/x
  3. Step 3: Cross multiply
    3,729.09x = 5,588.19 × 3,319.05
  4. Step 4: Simplify right side
    3,729.09x = 18,547,482.02
  5. Step 5: Solve for x
    x = 18,547,482.02/3,729.09
  6. Step 6: Final answer
    x = 4,973.73

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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.