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Finding the Fourth Proportional to 5,133.80, 7,699.74 and 1,671.72

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Solution

The fourth proportional to 5,133.80, 7,699.74 and 1,671.72 is: 2,507.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,133.80 : 7,699.74 = 1,671.72 : x
  2. Step 2: Convert to fraction form
    5,133.80/7,699.74 = 1,671.72/x
  3. Step 3: Cross multiply
    5,133.80x = 7,699.74 × 1,671.72
  4. Step 4: Simplify right side
    5,133.80x = 12,871,809.35
  5. Step 5: Solve for x
    x = 12,871,809.35/5,133.80
  6. Step 6: Final answer
    x = 2,507.27

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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.