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Finding the Fourth Proportional to 5,145.22, 7,096.78 and 3,156.74

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Solution

The fourth proportional to 5,145.22, 7,096.78 and 3,156.74 is: 4,354.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.22 : 7,096.78 = 3,156.74 : x
  2. Step 2: Convert to fraction form
    5,145.22/7,096.78 = 3,156.74/x
  3. Step 3: Cross multiply
    5,145.22x = 7,096.78 × 3,156.74
  4. Step 4: Simplify right side
    5,145.22x = 22,402,689.30
  5. Step 5: Solve for x
    x = 22,402,689.30/5,145.22
  6. Step 6: Final answer
    x = 4,354.08

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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.