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Finding the Fourth Proportional to 3,354.42, 5,030.01 and 1,406.10

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Solution

The fourth proportional to 3,354.42, 5,030.01 and 1,406.10 is: 2,108.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,354.42 : 5,030.01 = 1,406.10 : x
  2. Step 2: Convert to fraction form
    3,354.42/5,030.01 = 1,406.10/x
  3. Step 3: Cross multiply
    3,354.42x = 5,030.01 × 1,406.10
  4. Step 4: Simplify right side
    3,354.42x = 7,072,697.06
  5. Step 5: Solve for x
    x = 7,072,697.06/3,354.42
  6. Step 6: Final answer
    x = 2,108.47

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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.