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Finding the Fourth Proportional to 5,802.21, 8,703.32 and 1,641.67

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Solution

The fourth proportional to 5,802.21, 8,703.32 and 1,641.67 is: 2,462.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.21 : 8,703.32 = 1,641.67 : x
  2. Step 2: Convert to fraction form
    5,802.21/8,703.32 = 1,641.67/x
  3. Step 3: Cross multiply
    5,802.21x = 8,703.32 × 1,641.67
  4. Step 4: Simplify right side
    5,802.21x = 14,287,949.38
  5. Step 5: Solve for x
    x = 14,287,949.38/5,802.21
  6. Step 6: Final answer
    x = 2,462.50

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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.