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Finding the Fourth Proportional to 3,641.70, 5,459.30 and 3,089.93

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Solution

The fourth proportional to 3,641.70, 5,459.30 and 3,089.93 is: 4,632.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.70 : 5,459.30 = 3,089.93 : x
  2. Step 2: Convert to fraction form
    3,641.70/5,459.30 = 3,089.93/x
  3. Step 3: Cross multiply
    3,641.70x = 5,459.30 × 3,089.93
  4. Step 4: Simplify right side
    3,641.70x = 16,868,877.43
  5. Step 5: Solve for x
    x = 16,868,877.43/3,641.70
  6. Step 6: Final answer
    x = 4,632.15

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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.