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Finding the Fourth Proportional to 5,809.35, 8,715.32 and 1,913.49

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Solution

The fourth proportional to 5,809.35, 8,715.32 and 1,913.49 is: 2,870.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,809.35 : 8,715.32 = 1,913.49 : x
  2. Step 2: Convert to fraction form
    5,809.35/8,715.32 = 1,913.49/x
  3. Step 3: Cross multiply
    5,809.35x = 8,715.32 × 1,913.49
  4. Step 4: Simplify right side
    5,809.35x = 16,676,668.10
  5. Step 5: Solve for x
    x = 16,676,668.10/5,809.35
  6. Step 6: Final answer
    x = 2,870.66

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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.