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Finding the Fourth Proportional to 5,567.71, 8,351.91 and 1,869.64

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Solution

The fourth proportional to 5,567.71, 8,351.91 and 1,869.64 is: 2,804.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,567.71 : 8,351.91 = 1,869.64 : x
  2. Step 2: Convert to fraction form
    5,567.71/8,351.91 = 1,869.64/x
  3. Step 3: Cross multiply
    5,567.71x = 8,351.91 × 1,869.64
  4. Step 4: Simplify right side
    5,567.71x = 15,615,065.01
  5. Step 5: Solve for x
    x = 15,615,065.01/5,567.71
  6. Step 6: Final answer
    x = 2,804.58

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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.