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Finding the Fourth Proportional to 4,176.64, 6,265.16 and 3,444.86

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Solution

The fourth proportional to 4,176.64, 6,265.16 and 3,444.86 is: 5,167.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,176.64 : 6,265.16 = 3,444.86 : x
  2. Step 2: Convert to fraction form
    4,176.64/6,265.16 = 3,444.86/x
  3. Step 3: Cross multiply
    4,176.64x = 6,265.16 × 3,444.86
  4. Step 4: Simplify right side
    4,176.64x = 21,582,599.08
  5. Step 5: Solve for x
    x = 21,582,599.08/4,176.64
  6. Step 6: Final answer
    x = 5,167.45

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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.