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Finding the Fourth Proportional to 4,565.79, 6,848.73 and 1,642.05

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Solution

The fourth proportional to 4,565.79, 6,848.73 and 1,642.05 is: 2,463.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,565.79 : 6,848.73 = 1,642.05 : x
  2. Step 2: Convert to fraction form
    4,565.79/6,848.73 = 1,642.05/x
  3. Step 3: Cross multiply
    4,565.79x = 6,848.73 × 1,642.05
  4. Step 4: Simplify right side
    4,565.79x = 11,245,957.10
  5. Step 5: Solve for x
    x = 11,245,957.10/4,565.79
  6. Step 6: Final answer
    x = 2,463.09

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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.