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Finding the Fourth Proportional to 5,354.90, 7,390.71 and 3,586.77

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Solution

The fourth proportional to 5,354.90, 7,390.71 and 3,586.77 is: 4,950.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,354.90 : 7,390.71 = 3,586.77 : x
  2. Step 2: Convert to fraction form
    5,354.90/7,390.71 = 3,586.77/x
  3. Step 3: Cross multiply
    5,354.90x = 7,390.71 × 3,586.77
  4. Step 4: Simplify right side
    5,354.90x = 26,508,776.91
  5. Step 5: Solve for x
    x = 26,508,776.91/5,354.90
  6. Step 6: Final answer
    x = 4,950.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.