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Finding the Fourth Proportional to 4,405.76, 6,079.74 and 2,416.40

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Solution

The fourth proportional to 4,405.76, 6,079.74 and 2,416.40 is: 3,334.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,405.76 : 6,079.74 = 2,416.40 : x
  2. Step 2: Convert to fraction form
    4,405.76/6,079.74 = 2,416.40/x
  3. Step 3: Cross multiply
    4,405.76x = 6,079.74 × 2,416.40
  4. Step 4: Simplify right side
    4,405.76x = 14,691,053.34
  5. Step 5: Solve for x
    x = 14,691,053.34/4,405.76
  6. Step 6: Final answer
    x = 3,334.51

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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.