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Finding the Fourth Proportional to 4,306.01, 6,460.84 and 1,675.35

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Solution

The fourth proportional to 4,306.01, 6,460.84 and 1,675.35 is: 2,513.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,306.01 : 6,460.84 = 1,675.35 : x
  2. Step 2: Convert to fraction form
    4,306.01/6,460.84 = 1,675.35/x
  3. Step 3: Cross multiply
    4,306.01x = 6,460.84 × 1,675.35
  4. Step 4: Simplify right side
    4,306.01x = 10,824,168.29
  5. Step 5: Solve for x
    x = 10,824,168.29/4,306.01
  6. Step 6: Final answer
    x = 2,513.74

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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.