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Finding the Fourth Proportional to 4,897.76, 7,346.62 and 1,435

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Solution

The fourth proportional to 4,897.76, 7,346.62 and 1,435 is: 2,152.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,897.76 : 7,346.62 = 1,435 : x
  2. Step 2: Convert to fraction form
    4,897.76/7,346.62 = 1,435/x
  3. Step 3: Cross multiply
    4,897.76x = 7,346.62 × 1,435
  4. Step 4: Simplify right side
    4,897.76x = 10,542,399.70
  5. Step 5: Solve for x
    x = 10,542,399.70/4,897.76
  6. Step 6: Final answer
    x = 2,152.49

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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.