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Finding the Fourth Proportional to 5,842.91, 8,762.20 and 1,681.51

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Solution

The fourth proportional to 5,842.91, 8,762.20 and 1,681.51 is: 2,521.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.91 : 8,762.20 = 1,681.51 : x
  2. Step 2: Convert to fraction form
    5,842.91/8,762.20 = 1,681.51/x
  3. Step 3: Cross multiply
    5,842.91x = 8,762.20 × 1,681.51
  4. Step 4: Simplify right side
    5,842.91x = 14,733,753.69
  5. Step 5: Solve for x
    x = 14,733,753.69/5,842.91
  6. Step 6: Final answer
    x = 2,521.65

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1.5x scale

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.