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Finding the Fourth Proportional to 4,686.94, 7,031.42 and 1,400.29

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Solution

The fourth proportional to 4,686.94, 7,031.42 and 1,400.29 is: 2,100.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686.94 : 7,031.42 = 1,400.29 : x
  2. Step 2: Convert to fraction form
    4,686.94/7,031.42 = 1,400.29/x
  3. Step 3: Cross multiply
    4,686.94x = 7,031.42 × 1,400.29
  4. Step 4: Simplify right side
    4,686.94x = 9,846,027.11
  5. Step 5: Solve for x
    x = 9,846,027.11/4,686.94
  6. Step 6: Final answer
    x = 2,100.74

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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.