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Finding the Fourth Proportional to 4,663.85, 6,435.00 and 2,646.82

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Solution

The fourth proportional to 4,663.85, 6,435.00 and 2,646.82 is: 3,651.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.85 : 6,435.00 = 2,646.82 : x
  2. Step 2: Convert to fraction form
    4,663.85/6,435.00 = 2,646.82/x
  3. Step 3: Cross multiply
    4,663.85x = 6,435.00 × 2,646.82
  4. Step 4: Simplify right side
    4,663.85x = 17,032,280.54
  5. Step 5: Solve for x
    x = 17,032,280.54/4,663.85
  6. Step 6: Final answer
    x = 3,651.98

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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.