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Finding the Fourth Proportional to 4,663.01, 6,434.75 and 2,567.00

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Solution

The fourth proportional to 4,663.01, 6,434.75 and 2,567.00 is: 3,542.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.01 : 6,434.75 = 2,567.00 : x
  2. Step 2: Convert to fraction form
    4,663.01/6,434.75 = 2,567.00/x
  3. Step 3: Cross multiply
    4,663.01x = 6,434.75 × 2,567.00
  4. Step 4: Simplify right side
    4,663.01x = 16,517,977.49
  5. Step 5: Solve for x
    x = 16,517,977.49/4,663.01
  6. Step 6: Final answer
    x = 3,542.35

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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.