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Finding the Fourth Proportional to 5,358.88, 8,038.42 and 1,463.40

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Solution

The fourth proportional to 5,358.88, 8,038.42 and 1,463.40 is: 2,195.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,358.88 : 8,038.42 = 1,463.40 : x
  2. Step 2: Convert to fraction form
    5,358.88/8,038.42 = 1,463.40/x
  3. Step 3: Cross multiply
    5,358.88x = 8,038.42 × 1,463.40
  4. Step 4: Simplify right side
    5,358.88x = 11,763,423.83
  5. Step 5: Solve for x
    x = 11,763,423.83/5,358.88
  6. Step 6: Final answer
    x = 2,195.13

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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.