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Finding the Fourth Proportional to 5,655, 8,483.88 and 1,957.20

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Solution

The fourth proportional to 5,655, 8,483.88 and 1,957.20 is: 2,936.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655 : 8,483.88 = 1,957.20 : x
  2. Step 2: Convert to fraction form
    5,655/8,483.88 = 1,957.20/x
  3. Step 3: Cross multiply
    5,655x = 8,483.88 × 1,957.20
  4. Step 4: Simplify right side
    5,655x = 16,604,649.94
  5. Step 5: Solve for x
    x = 16,604,649.94/5,655
  6. Step 6: Final answer
    x = 2,936.28

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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.