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Finding the Fourth Proportional to 4,302.68, 6,454.99 and 1,529.34

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Solution

The fourth proportional to 4,302.68, 6,454.99 and 1,529.34 is: 2,294.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,302.68 : 6,454.99 = 1,529.34 : x
  2. Step 2: Convert to fraction form
    4,302.68/6,454.99 = 1,529.34/x
  3. Step 3: Cross multiply
    4,302.68x = 6,454.99 × 1,529.34
  4. Step 4: Simplify right side
    4,302.68x = 9,871,870.27
  5. Step 5: Solve for x
    x = 9,871,870.27/4,302.68
  6. Step 6: Final answer
    x = 2,294.35

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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.