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Finding the Fourth Proportional to 4,689.46, 7,032.49 and 1,401.45

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Solution

The fourth proportional to 4,689.46, 7,032.49 and 1,401.45 is: 2,101.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.46 : 7,032.49 = 1,401.45 : x
  2. Step 2: Convert to fraction form
    4,689.46/7,032.49 = 1,401.45/x
  3. Step 3: Cross multiply
    4,689.46x = 7,032.49 × 1,401.45
  4. Step 4: Simplify right side
    4,689.46x = 9,855,653.24
  5. Step 5: Solve for x
    x = 9,855,653.24/4,689.46
  6. Step 6: Final answer
    x = 2,101.66

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