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Finding the Fourth Proportional to 5,690.94, 8,539.65 and 4,543.98

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Solution

The fourth proportional to 5,690.94, 8,539.65 and 4,543.98 is: 6,818.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.94 : 8,539.65 = 4,543.98 : x
  2. Step 2: Convert to fraction form
    5,690.94/8,539.65 = 4,543.98/x
  3. Step 3: Cross multiply
    5,690.94x = 8,539.65 × 4,543.98
  4. Step 4: Simplify right side
    5,690.94x = 38,803,998.81
  5. Step 5: Solve for x
    x = 38,803,998.81/5,690.94
  6. Step 6: Final answer
    x = 6,818.56

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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.