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Finding the Fourth Proportional to 5,133.08, 7,700.08 and 1,435.34

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Solution

The fourth proportional to 5,133.08, 7,700.08 and 1,435.34 is: 2,153.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,133.08 : 7,700.08 = 1,435.34 : x
  2. Step 2: Convert to fraction form
    5,133.08/7,700.08 = 1,435.34/x
  3. Step 3: Cross multiply
    5,133.08x = 7,700.08 × 1,435.34
  4. Step 4: Simplify right side
    5,133.08x = 11,052,232.83
  5. Step 5: Solve for x
    x = 11,052,232.83/5,133.08
  6. Step 6: Final answer
    x = 2,153.14

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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.