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Finding the Fourth Proportional to 4,138, 6,207.16 and 1,402

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Solution

The fourth proportional to 4,138, 6,207.16 and 1,402 is: 2,103.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138 : 6,207.16 = 1,402 : x
  2. Step 2: Convert to fraction form
    4,138/6,207.16 = 1,402/x
  3. Step 3: Cross multiply
    4,138x = 6,207.16 × 1,402
  4. Step 4: Simplify right side
    4,138x = 8,702,438.32
  5. Step 5: Solve for x
    x = 8,702,438.32/4,138
  6. Step 6: Final answer
    x = 2,103.05

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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.