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Finding the Fourth Proportional to 4,572.02, 6,859.84 and 4,208.78

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Solution

The fourth proportional to 4,572.02, 6,859.84 and 4,208.78 is: 6,314.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,572.02 : 6,859.84 = 4,208.78 : x
  2. Step 2: Convert to fraction form
    4,572.02/6,859.84 = 4,208.78/x
  3. Step 3: Cross multiply
    4,572.02x = 6,859.84 × 4,208.78
  4. Step 4: Simplify right side
    4,572.02x = 28,871,557.40
  5. Step 5: Solve for x
    x = 28,871,557.40/4,572.02
  6. Step 6: Final answer
    x = 6,314.84

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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.