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Finding the Fourth Proportional to 4,533.18, 6,786.41 and 4,421.40

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Solution

The fourth proportional to 4,533.18, 6,786.41 and 4,421.40 is: 6,619.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,533.18 : 6,786.41 = 4,421.40 : x
  2. Step 2: Convert to fraction form
    4,533.18/6,786.41 = 4,421.40/x
  3. Step 3: Cross multiply
    4,533.18x = 6,786.41 × 4,421.40
  4. Step 4: Simplify right side
    4,533.18x = 30,005,411.07
  5. Step 5: Solve for x
    x = 30,005,411.07/4,533.18
  6. Step 6: Final answer
    x = 6,619.06

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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.