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Finding the Fourth Proportional to 4,864.56, 7,258.88 and 4,340.96

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Solution

The fourth proportional to 4,864.56, 7,258.88 and 4,340.96 is: 6,477.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,864.56 : 7,258.88 = 4,340.96 : x
  2. Step 2: Convert to fraction form
    4,864.56/7,258.88 = 4,340.96/x
  3. Step 3: Cross multiply
    4,864.56x = 7,258.88 × 4,340.96
  4. Step 4: Simplify right side
    4,864.56x = 31,510,507.72
  5. Step 5: Solve for x
    x = 31,510,507.72/4,864.56
  6. Step 6: Final answer
    x = 6,477.57

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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.