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Finding the Fourth Proportional to 3,762.66, 5,632.14 and 2,585.79

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Solution

The fourth proportional to 3,762.66, 5,632.14 and 2,585.79 is: 3,870.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.66 : 5,632.14 = 2,585.79 : x
  2. Step 2: Convert to fraction form
    3,762.66/5,632.14 = 2,585.79/x
  3. Step 3: Cross multiply
    3,762.66x = 5,632.14 × 2,585.79
  4. Step 4: Simplify right side
    3,762.66x = 14,563,531.29
  5. Step 5: Solve for x
    x = 14,563,531.29/3,762.66
  6. Step 6: Final answer
    x = 3,870.54

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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.