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Finding the Fourth Proportional to 4,854.50, 6,699.21 and 2,646.50

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Solution

The fourth proportional to 4,854.50, 6,699.21 and 2,646.50 is: 3,652.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,854.50 : 6,699.21 = 2,646.50 : x
  2. Step 2: Convert to fraction form
    4,854.50/6,699.21 = 2,646.50/x
  3. Step 3: Cross multiply
    4,854.50x = 6,699.21 × 2,646.50
  4. Step 4: Simplify right side
    4,854.50x = 17,729,459.27
  5. Step 5: Solve for x
    x = 17,729,459.27/4,854.50
  6. Step 6: Final answer
    x = 3,652.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.