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Finding the Fourth Proportional to 4,901.76, 7,347.72 and 1,976.04

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Solution

The fourth proportional to 4,901.76, 7,347.72 and 1,976.04 is: 2,962.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,901.76 : 7,347.72 = 1,976.04 : x
  2. Step 2: Convert to fraction form
    4,901.76/7,347.72 = 1,976.04/x
  3. Step 3: Cross multiply
    4,901.76x = 7,347.72 × 1,976.04
  4. Step 4: Simplify right side
    4,901.76x = 14,519,388.63
  5. Step 5: Solve for x
    x = 14,519,388.63/4,901.76
  6. Step 6: Final answer
    x = 2,962.08

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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.