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Finding the Fourth Proportional to 3,417.02, 5,125.50 and 1,336.42

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Solution

The fourth proportional to 3,417.02, 5,125.50 and 1,336.42 is: 2,004.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417.02 : 5,125.50 = 1,336.42 : x
  2. Step 2: Convert to fraction form
    3,417.02/5,125.50 = 1,336.42/x
  3. Step 3: Cross multiply
    3,417.02x = 5,125.50 × 1,336.42
  4. Step 4: Simplify right side
    3,417.02x = 6,849,820.71
  5. Step 5: Solve for x
    x = 6,849,820.71/3,417.02
  6. Step 6: Final answer
    x = 2,004.62

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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.