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Finding the Fourth Proportional to 5,590.35, 7,712.16 and 4,472.85

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Solution

The fourth proportional to 5,590.35, 7,712.16 and 4,472.85 is: 6,170.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,590.35 : 7,712.16 = 4,472.85 : x
  2. Step 2: Convert to fraction form
    5,590.35/7,712.16 = 4,472.85/x
  3. Step 3: Cross multiply
    5,590.35x = 7,712.16 × 4,472.85
  4. Step 4: Simplify right side
    5,590.35x = 34,495,334.86
  5. Step 5: Solve for x
    x = 34,495,334.86/5,590.35
  6. Step 6: Final answer
    x = 6,170.51

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