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Finding the Fourth Proportional to 5,235.13, 7,852.02 and 4,363.08

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Solution

The fourth proportional to 5,235.13, 7,852.02 and 4,363.08 is: 6,544.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235.13 : 7,852.02 = 4,363.08 : x
  2. Step 2: Convert to fraction form
    5,235.13/7,852.02 = 4,363.08/x
  3. Step 3: Cross multiply
    5,235.13x = 7,852.02 × 4,363.08
  4. Step 4: Simplify right side
    5,235.13x = 34,258,991.42
  5. Step 5: Solve for x
    x = 34,258,991.42/5,235.13
  6. Step 6: Final answer
    x = 6,544.06

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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.