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Finding the Fourth Proportional to 4,902.53, 7,354.71 and 1,615.76

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Solution

The fourth proportional to 4,902.53, 7,354.71 and 1,615.76 is: 2,423.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.53 : 7,354.71 = 1,615.76 : x
  2. Step 2: Convert to fraction form
    4,902.53/7,354.71 = 1,615.76/x
  3. Step 3: Cross multiply
    4,902.53x = 7,354.71 × 1,615.76
  4. Step 4: Simplify right side
    4,902.53x = 11,883,409.46
  5. Step 5: Solve for x
    x = 11,883,409.46/4,902.53
  6. Step 6: Final answer
    x = 2,423.93

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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.