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Finding the Fourth Proportional to 4,488.16, 6,728.92 and 2,178

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Solution

The fourth proportional to 4,488.16, 6,728.92 and 2,178 is: 3,265.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,488.16 : 6,728.92 = 2,178 : x
  2. Step 2: Convert to fraction form
    4,488.16/6,728.92 = 2,178/x
  3. Step 3: Cross multiply
    4,488.16x = 6,728.92 × 2,178
  4. Step 4: Simplify right side
    4,488.16x = 14,655,587.76
  5. Step 5: Solve for x
    x = 14,655,587.76/4,488.16
  6. Step 6: Final answer
    x = 3,265.39

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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.