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Finding the Fourth Proportional to 4,335.40, 6,500.94 and 2,386

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Solution

The fourth proportional to 4,335.40, 6,500.94 and 2,386 is: 3,577.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,335.40 : 6,500.94 = 2,386 : x
  2. Step 2: Convert to fraction form
    4,335.40/6,500.94 = 2,386/x
  3. Step 3: Cross multiply
    4,335.40x = 6,500.94 × 2,386
  4. Step 4: Simplify right side
    4,335.40x = 15,511,242.84
  5. Step 5: Solve for x
    x = 15,511,242.84/4,335.40
  6. Step 6: Final answer
    x = 3,577.81

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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.