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Finding the Fourth Proportional to 4,677.72, 6,455.52 and 2,788.80

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Solution

The fourth proportional to 4,677.72, 6,455.52 and 2,788.80 is: 3,848.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.72 : 6,455.52 = 2,788.80 : x
  2. Step 2: Convert to fraction form
    4,677.72/6,455.52 = 2,788.80/x
  3. Step 3: Cross multiply
    4,677.72x = 6,455.52 × 2,788.80
  4. Step 4: Simplify right side
    4,677.72x = 18,003,154.18
  5. Step 5: Solve for x
    x = 18,003,154.18/4,677.72
  6. Step 6: Final answer
    x = 3,848.70

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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.