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Finding the Fourth Proportional to 5,985.68, 8,970.20 and 3,057.80

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Solution

The fourth proportional to 5,985.68, 8,970.20 and 3,057.80 is: 4,582.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,985.68 : 8,970.20 = 3,057.80 : x
  2. Step 2: Convert to fraction form
    5,985.68/8,970.20 = 3,057.80/x
  3. Step 3: Cross multiply
    5,985.68x = 8,970.20 × 3,057.80
  4. Step 4: Simplify right side
    5,985.68x = 27,429,062.27
  5. Step 5: Solve for x
    x = 27,429,062.27/5,985.68
  6. Step 6: Final answer
    x = 4,582.45

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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.