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Finding the Fourth Proportional to 4,480, 6,184.02 and 2,617

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Solution

The fourth proportional to 4,480, 6,184.02 and 2,617 is: 3,612.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,480 : 6,184.02 = 2,617 : x
  2. Step 2: Convert to fraction form
    4,480/6,184.02 = 2,617/x
  3. Step 3: Cross multiply
    4,480x = 6,184.02 × 2,617
  4. Step 4: Simplify right side
    4,480x = 16,183,580.34
  5. Step 5: Solve for x
    x = 16,183,580.34/4,480
  6. Step 6: Final answer
    x = 3,612.41

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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.