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Finding the Fourth Proportional to 4,397.44, 6,595.20 and 2,056

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Solution

The fourth proportional to 4,397.44, 6,595.20 and 2,056 is: 3,083.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,397.44 : 6,595.20 = 2,056 : x
  2. Step 2: Convert to fraction form
    4,397.44/6,595.20 = 2,056/x
  3. Step 3: Cross multiply
    4,397.44x = 6,595.20 × 2,056
  4. Step 4: Simplify right side
    4,397.44x = 13,559,731.20
  5. Step 5: Solve for x
    x = 13,559,731.20/4,397.44
  6. Step 6: Final answer
    x = 3,083.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.