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Finding the Fourth Proportional to 3,354.35, 5,031.98 and 1,406.10

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Solution

The fourth proportional to 3,354.35, 5,031.98 and 1,406.10 is: 2,109.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,354.35 : 5,031.98 = 1,406.10 : x
  2. Step 2: Convert to fraction form
    3,354.35/5,031.98 = 1,406.10/x
  3. Step 3: Cross multiply
    3,354.35x = 5,031.98 × 1,406.10
  4. Step 4: Simplify right side
    3,354.35x = 7,075,460.05
  5. Step 5: Solve for x
    x = 7,075,460.05/3,354.35
  6. Step 6: Final answer
    x = 2,109.34

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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.