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Finding the Fourth Proportional to 4,786.40, 6,607.08 and 4,288.16

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Solution

The fourth proportional to 4,786.40, 6,607.08 and 4,288.16 is: 5,919.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786.40 : 6,607.08 = 4,288.16 : x
  2. Step 2: Convert to fraction form
    4,786.40/6,607.08 = 4,288.16/x
  3. Step 3: Cross multiply
    4,786.40x = 6,607.08 × 4,288.16
  4. Step 4: Simplify right side
    4,786.40x = 28,332,216.17
  5. Step 5: Solve for x
    x = 28,332,216.17/4,786.40
  6. Step 6: Final answer
    x = 5,919.32

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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.