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Finding the Fourth Proportional to 5,651.78, 8,476.95 and 1,492.13

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Solution

The fourth proportional to 5,651.78, 8,476.95 and 1,492.13 is: 2,238.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,651.78 : 8,476.95 = 1,492.13 : x
  2. Step 2: Convert to fraction form
    5,651.78/8,476.95 = 1,492.13/x
  3. Step 3: Cross multiply
    5,651.78x = 8,476.95 × 1,492.13
  4. Step 4: Simplify right side
    5,651.78x = 12,648,711.40
  5. Step 5: Solve for x
    x = 12,648,711.40/5,651.78
  6. Step 6: Final answer
    x = 2,238.00

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Why These Related Problems?

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