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Finding the Fourth Proportional to 4,200.64, 6,296.57 and 1,567.00

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Solution

The fourth proportional to 4,200.64, 6,296.57 and 1,567.00 is: 2,348.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.64 : 6,296.57 = 1,567.00 : x
  2. Step 2: Convert to fraction form
    4,200.64/6,296.57 = 1,567.00/x
  3. Step 3: Cross multiply
    4,200.64x = 6,296.57 × 1,567.00
  4. Step 4: Simplify right side
    4,200.64x = 9,866,701.61
  5. Step 5: Solve for x
    x = 9,866,701.61/4,200.64
  6. Step 6: Final answer
    x = 2,348.86

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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.