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Finding the Fourth Proportional to 3,378.42, 5,068.08 and 1,430.10

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Solution

The fourth proportional to 3,378.42, 5,068.08 and 1,430.10 is: 2,145.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,378.42 : 5,068.08 = 1,430.10 : x
  2. Step 2: Convert to fraction form
    3,378.42/5,068.08 = 1,430.10/x
  3. Step 3: Cross multiply
    3,378.42x = 5,068.08 × 1,430.10
  4. Step 4: Simplify right side
    3,378.42x = 7,247,861.21
  5. Step 5: Solve for x
    x = 7,247,861.21/3,378.42
  6. Step 6: Final answer
    x = 2,145.34

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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.