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Finding the Fourth Proportional to 4,176.64, 6,265.11 and 1,403.40

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Solution

The fourth proportional to 4,176.64, 6,265.11 and 1,403.40 is: 2,105.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,176.64 : 6,265.11 = 1,403.40 : x
  2. Step 2: Convert to fraction form
    4,176.64/6,265.11 = 1,403.40/x
  3. Step 3: Cross multiply
    4,176.64x = 6,265.11 × 1,403.40
  4. Step 4: Simplify right side
    4,176.64x = 8,792,455.37
  5. Step 5: Solve for x
    x = 8,792,455.37/4,176.64
  6. Step 6: Final answer
    x = 2,105.15

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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.