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Finding the Fourth Proportional to 5,842.08, 8,762.88 and 1,681.92

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Solution

The fourth proportional to 5,842.08, 8,762.88 and 1,681.92 is: 2,522.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.08 : 8,762.88 = 1,681.92 : x
  2. Step 2: Convert to fraction form
    5,842.08/8,762.88 = 1,681.92/x
  3. Step 3: Cross multiply
    5,842.08x = 8,762.88 × 1,681.92
  4. Step 4: Simplify right side
    5,842.08x = 14,738,463.13
  5. Step 5: Solve for x
    x = 14,738,463.13/5,842.08
  6. Step 6: Final answer
    x = 2,522.81

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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.