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Finding the Fourth Proportional to 4,567.73, 6,806.10 and 4,077.02

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Solution

The fourth proportional to 4,567.73, 6,806.10 and 4,077.02 is: 6,074.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,567.73 : 6,806.10 = 4,077.02 : x
  2. Step 2: Convert to fraction form
    4,567.73/6,806.10 = 4,077.02/x
  3. Step 3: Cross multiply
    4,567.73x = 6,806.10 × 4,077.02
  4. Step 4: Simplify right side
    4,567.73x = 27,748,605.82
  5. Step 5: Solve for x
    x = 27,748,605.82/4,567.73
  6. Step 6: Final answer
    x = 6,074.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.