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Finding the Fourth Proportional to 4,698.46, 6,482.80 and 2,809.72

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Solution

The fourth proportional to 4,698.46, 6,482.80 and 2,809.72 is: 3,876.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698.46 : 6,482.80 = 2,809.72 : x
  2. Step 2: Convert to fraction form
    4,698.46/6,482.80 = 2,809.72/x
  3. Step 3: Cross multiply
    4,698.46x = 6,482.80 × 2,809.72
  4. Step 4: Simplify right side
    4,698.46x = 18,214,852.82
  5. Step 5: Solve for x
    x = 18,214,852.82/4,698.46
  6. Step 6: Final answer
    x = 3,876.77

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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.