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Finding the Fourth Proportional to 4,689.47, 7,032.49 and 1,401.46

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Solution

The fourth proportional to 4,689.47, 7,032.49 and 1,401.46 is: 2,101.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.47 : 7,032.49 = 1,401.46 : x
  2. Step 2: Convert to fraction form
    4,689.47/7,032.49 = 1,401.46/x
  3. Step 3: Cross multiply
    4,689.47x = 7,032.49 × 1,401.46
  4. Step 4: Simplify right side
    4,689.47x = 9,855,732.35
  5. Step 5: Solve for x
    x = 9,855,732.35/4,689.47
  6. Step 6: Final answer
    x = 2,101.67

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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.