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Finding the Fourth Proportional to 4,668.58, 6,442.67 and 2,572.70

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Solution

The fourth proportional to 4,668.58, 6,442.67 and 2,572.70 is: 3,550.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668.58 : 6,442.67 = 2,572.70 : x
  2. Step 2: Convert to fraction form
    4,668.58/6,442.67 = 2,572.70/x
  3. Step 3: Cross multiply
    4,668.58x = 6,442.67 × 2,572.70
  4. Step 4: Simplify right side
    4,668.58x = 16,575,060.35
  5. Step 5: Solve for x
    x = 16,575,060.35/4,668.58
  6. Step 6: Final answer
    x = 3,550.34

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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.