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Finding the Fourth Proportional to 4,898.55, 7,347.83 and 1,435.80

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Solution

The fourth proportional to 4,898.55, 7,347.83 and 1,435.80 is: 2,153.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,898.55 : 7,347.83 = 1,435.80 : x
  2. Step 2: Convert to fraction form
    4,898.55/7,347.83 = 1,435.80/x
  3. Step 3: Cross multiply
    4,898.55x = 7,347.83 × 1,435.80
  4. Step 4: Simplify right side
    4,898.55x = 10,550,007.14
  5. Step 5: Solve for x
    x = 10,550,007.14/4,898.55
  6. Step 6: Final answer
    x = 2,153.70

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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.