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Finding the Fourth Proportional to 3,904.32, 5,828.65 and 3,767.64

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Solution

The fourth proportional to 3,904.32, 5,828.65 and 3,767.64 is: 5,624.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,904.32 : 5,828.65 = 3,767.64 : x
  2. Step 2: Convert to fraction form
    3,904.32/5,828.65 = 3,767.64/x
  3. Step 3: Cross multiply
    3,904.32x = 5,828.65 × 3,767.64
  4. Step 4: Simplify right side
    3,904.32x = 21,960,254.89
  5. Step 5: Solve for x
    x = 21,960,254.89/3,904.32
  6. Step 6: Final answer
    x = 5,624.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.