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Finding the Fourth Proportional to 3,358.69, 5,038.15 and 1,509.81

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Solution

The fourth proportional to 3,358.69, 5,038.15 and 1,509.81 is: 2,264.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,358.69 : 5,038.15 = 1,509.81 : x
  2. Step 2: Convert to fraction form
    3,358.69/5,038.15 = 1,509.81/x
  3. Step 3: Cross multiply
    3,358.69x = 5,038.15 × 1,509.81
  4. Step 4: Simplify right side
    3,358.69x = 7,606,679.36
  5. Step 5: Solve for x
    x = 7,606,679.36/3,358.69
  6. Step 6: Final answer
    x = 2,264.77

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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.