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Finding the Fourth Proportional to 4,417.56, 6,097.22 and 3,056.75

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Solution

The fourth proportional to 4,417.56, 6,097.22 and 3,056.75 is: 4,218.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,417.56 : 6,097.22 = 3,056.75 : x
  2. Step 2: Convert to fraction form
    4,417.56/6,097.22 = 3,056.75/x
  3. Step 3: Cross multiply
    4,417.56x = 6,097.22 × 3,056.75
  4. Step 4: Simplify right side
    4,417.56x = 18,637,631.47
  5. Step 5: Solve for x
    x = 18,637,631.47/4,417.56
  6. Step 6: Final answer
    x = 4,218.99

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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.