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Finding the Fourth Proportional to 4,848.96, 6,690.78 and 2,859.24

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Solution

The fourth proportional to 4,848.96, 6,690.78 and 2,859.24 is: 3,945.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,848.96 : 6,690.78 = 2,859.24 : x
  2. Step 2: Convert to fraction form
    4,848.96/6,690.78 = 2,859.24/x
  3. Step 3: Cross multiply
    4,848.96x = 6,690.78 × 2,859.24
  4. Step 4: Simplify right side
    4,848.96x = 19,130,545.81
  5. Step 5: Solve for x
    x = 19,130,545.81/4,848.96
  6. Step 6: Final answer
    x = 3,945.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.