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Finding the Fourth Proportional to 4,776.51, 7,162.92 and 1,854.42

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Solution

The fourth proportional to 4,776.51, 7,162.92 and 1,854.42 is: 2,780.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,776.51 : 7,162.92 = 1,854.42 : x
  2. Step 2: Convert to fraction form
    4,776.51/7,162.92 = 1,854.42/x
  3. Step 3: Cross multiply
    4,776.51x = 7,162.92 × 1,854.42
  4. Step 4: Simplify right side
    4,776.51x = 13,283,062.11
  5. Step 5: Solve for x
    x = 13,283,062.11/4,776.51
  6. Step 6: Final answer
    x = 2,780.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.