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Finding the Fourth Proportional to 3,543.90, 5,290.26 and 3,106.50

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Solution

The fourth proportional to 3,543.90, 5,290.26 and 3,106.50 is: 4,637.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.90 : 5,290.26 = 3,106.50 : x
  2. Step 2: Convert to fraction form
    3,543.90/5,290.26 = 3,106.50/x
  3. Step 3: Cross multiply
    3,543.90x = 5,290.26 × 3,106.50
  4. Step 4: Simplify right side
    3,543.90x = 16,434,192.69
  5. Step 5: Solve for x
    x = 16,434,192.69/3,543.90
  6. Step 6: Final answer
    x = 4,637.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.