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Finding the Fourth Proportional to 4,972.96, 7,460.16 and 2,373.76

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Solution

The fourth proportional to 4,972.96, 7,460.16 and 2,373.76 is: 3,560.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.96 : 7,460.16 = 2,373.76 : x
  2. Step 2: Convert to fraction form
    4,972.96/7,460.16 = 2,373.76/x
  3. Step 3: Cross multiply
    4,972.96x = 7,460.16 × 2,373.76
  4. Step 4: Simplify right side
    4,972.96x = 17,708,629.40
  5. Step 5: Solve for x
    x = 17,708,629.40/4,972.96
  6. Step 6: Final answer
    x = 3,560.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.