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Finding the Fourth Proportional to 5,842.68, 8,762.72 and 1,681.76

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Solution

The fourth proportional to 5,842.68, 8,762.72 and 1,681.76 is: 2,522.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.68 : 8,762.72 = 1,681.76 : x
  2. Step 2: Convert to fraction form
    5,842.68/8,762.72 = 1,681.76/x
  3. Step 3: Cross multiply
    5,842.68x = 8,762.72 × 1,681.76
  4. Step 4: Simplify right side
    5,842.68x = 14,736,739.76
  5. Step 5: Solve for x
    x = 14,736,739.76/5,842.68
  6. Step 6: Final answer
    x = 2,522.26

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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.