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Finding the Fourth Proportional to 4,898.68, 7,349.13 and 1,435.93

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Solution

The fourth proportional to 4,898.68, 7,349.13 and 1,435.93 is: 2,154.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,898.68 : 7,349.13 = 1,435.93 : x
  2. Step 2: Convert to fraction form
    4,898.68/7,349.13 = 1,435.93/x
  3. Step 3: Cross multiply
    4,898.68x = 7,349.13 × 1,435.93
  4. Step 4: Simplify right side
    4,898.68x = 10,552,817.87
  5. Step 5: Solve for x
    x = 10,552,817.87/4,898.68
  6. Step 6: Final answer
    x = 2,154.22

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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.