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Finding the Fourth Proportional to 4,496.76, 6,193.67 and 4,472.10

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Solution

The fourth proportional to 4,496.76, 6,193.67 and 4,472.10 is: 6,159.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,496.76 : 6,193.67 = 4,472.10 : x
  2. Step 2: Convert to fraction form
    4,496.76/6,193.67 = 4,472.10/x
  3. Step 3: Cross multiply
    4,496.76x = 6,193.67 × 4,472.10
  4. Step 4: Simplify right side
    4,496.76x = 27,698,689.25
  5. Step 5: Solve for x
    x = 27,698,689.25/4,496.76
  6. Step 6: Final answer
    x = 6,159.70

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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.