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Finding the Fourth Proportional to 4,567.44, 6,303.57 and 4,285.86

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Solution

The fourth proportional to 4,567.44, 6,303.57 and 4,285.86 is: 5,914.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,567.44 : 6,303.57 = 4,285.86 : x
  2. Step 2: Convert to fraction form
    4,567.44/6,303.57 = 4,285.86/x
  3. Step 3: Cross multiply
    4,567.44x = 6,303.57 × 4,285.86
  4. Step 4: Simplify right side
    4,567.44x = 27,016,218.52
  5. Step 5: Solve for x
    x = 27,016,218.52/4,567.44
  6. Step 6: Final answer
    x = 5,914.96

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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.