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Finding the Fourth Proportional to 3,543.80, 5,316.06 and 1,354.37

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Solution

The fourth proportional to 3,543.80, 5,316.06 and 1,354.37 is: 2,031.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.80 : 5,316.06 = 1,354.37 : x
  2. Step 2: Convert to fraction form
    3,543.80/5,316.06 = 1,354.37/x
  3. Step 3: Cross multiply
    3,543.80x = 5,316.06 × 1,354.37
  4. Step 4: Simplify right side
    3,543.80x = 7,199,895.51
  5. Step 5: Solve for x
    x = 7,199,895.51/3,543.80
  6. Step 6: Final answer
    x = 2,031.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.