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Finding the Fourth Proportional to 4,267.56, 6,411.52 and 2,788

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Solution

The fourth proportional to 4,267.56, 6,411.52 and 2,788 is: 4,188.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,267.56 : 6,411.52 = 2,788 : x
  2. Step 2: Convert to fraction form
    4,267.56/6,411.52 = 2,788/x
  3. Step 3: Cross multiply
    4,267.56x = 6,411.52 × 2,788
  4. Step 4: Simplify right side
    4,267.56x = 17,875,317.76
  5. Step 5: Solve for x
    x = 17,875,317.76/4,267.56
  6. Step 6: Final answer
    x = 4,188.65

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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.