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Finding the Fourth Proportional to 5,428.76, 7,492.06 and 3,070.90

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Solution

The fourth proportional to 5,428.76, 7,492.06 and 3,070.90 is: 4,238.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,428.76 : 7,492.06 = 3,070.90 : x
  2. Step 2: Convert to fraction form
    5,428.76/7,492.06 = 3,070.90/x
  3. Step 3: Cross multiply
    5,428.76x = 7,492.06 × 3,070.90
  4. Step 4: Simplify right side
    5,428.76x = 23,007,367.05
  5. Step 5: Solve for x
    x = 23,007,367.05/5,428.76
  6. Step 6: Final answer
    x = 4,238.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.