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Finding the Fourth Proportional to 3,898.32, 5,850 and 1,590

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Solution

The fourth proportional to 3,898.32, 5,850 and 1,590 is: 2,386.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.32 : 5,850 = 1,590 : x
  2. Step 2: Convert to fraction form
    3,898.32/5,850 = 1,590/x
  3. Step 3: Cross multiply
    3,898.32x = 5,850 × 1,590
  4. Step 4: Simplify right side
    3,898.32x = 9,301,500
  5. Step 5: Solve for x
    x = 9,301,500/3,898.32
  6. Step 6: Final answer
    x = 2,386.03

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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.