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Finding the Fourth Proportional to 4,543.98, 6,271.98 and 2,656

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Solution

The fourth proportional to 4,543.98, 6,271.98 and 2,656 is: 3,666.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,543.98 : 6,271.98 = 2,656 : x
  2. Step 2: Convert to fraction form
    4,543.98/6,271.98 = 2,656/x
  3. Step 3: Cross multiply
    4,543.98x = 6,271.98 × 2,656
  4. Step 4: Simplify right side
    4,543.98x = 16,658,378.88
  5. Step 5: Solve for x
    x = 16,658,378.88/4,543.98
  6. Step 6: Final answer
    x = 3,666.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.