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Finding the Fourth Proportional to 5,656.80, 8,483.68 and 2,368

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Solution

The fourth proportional to 5,656.80, 8,483.68 and 2,368 is: 3,551.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,656.80 : 8,483.68 = 2,368 : x
  2. Step 2: Convert to fraction form
    5,656.80/8,483.68 = 2,368/x
  3. Step 3: Cross multiply
    5,656.80x = 8,483.68 × 2,368
  4. Step 4: Simplify right side
    5,656.80x = 20,089,354.24
  5. Step 5: Solve for x
    x = 20,089,354.24/5,656.80
  6. Step 6: Final answer
    x = 3,551.36

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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.