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Finding the Fourth Proportional to 5,758.71, 8,637.93 and 2,984.46

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Solution

The fourth proportional to 5,758.71, 8,637.93 and 2,984.46 is: 4,476.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,758.71 : 8,637.93 = 2,984.46 : x
  2. Step 2: Convert to fraction form
    5,758.71/8,637.93 = 2,984.46/x
  3. Step 3: Cross multiply
    5,758.71x = 8,637.93 × 2,984.46
  4. Step 4: Simplify right side
    5,758.71x = 25,779,556.57
  5. Step 5: Solve for x
    x = 25,779,556.57/5,758.71
  6. Step 6: Final answer
    x = 4,476.62

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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.