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Finding the Fourth Proportional to 4,026.17, 6,038.04 and 1,428.50

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Solution

The fourth proportional to 4,026.17, 6,038.04 and 1,428.50 is: 2,142.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,026.17 : 6,038.04 = 1,428.50 : x
  2. Step 2: Convert to fraction form
    4,026.17/6,038.04 = 1,428.50/x
  3. Step 3: Cross multiply
    4,026.17x = 6,038.04 × 1,428.50
  4. Step 4: Simplify right side
    4,026.17x = 8,625,340.14
  5. Step 5: Solve for x
    x = 8,625,340.14/4,026.17
  6. Step 6: Final answer
    x = 2,142.32

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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.