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Finding the Fourth Proportional to 4,854.12, 6,698.42 and 2,646.12

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Solution

The fourth proportional to 4,854.12, 6,698.42 and 2,646.12 is: 3,651.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,854.12 : 6,698.42 = 2,646.12 : x
  2. Step 2: Convert to fraction form
    4,854.12/6,698.42 = 2,646.12/x
  3. Step 3: Cross multiply
    4,854.12x = 6,698.42 × 2,646.12
  4. Step 4: Simplify right side
    4,854.12x = 17,724,823.13
  5. Step 5: Solve for x
    x = 17,724,823.13/4,854.12
  6. Step 6: Final answer
    x = 3,651.50

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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.