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Finding the Fourth Proportional to 4,335.68, 6,503.90 and 1,215.71

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Solution

The fourth proportional to 4,335.68, 6,503.90 and 1,215.71 is: 1,823.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,335.68 : 6,503.90 = 1,215.71 : x
  2. Step 2: Convert to fraction form
    4,335.68/6,503.90 = 1,215.71/x
  3. Step 3: Cross multiply
    4,335.68x = 6,503.90 × 1,215.71
  4. Step 4: Simplify right side
    4,335.68x = 7,906,842.06
  5. Step 5: Solve for x
    x = 7,906,842.06/4,335.68
  6. Step 6: Final answer
    x = 1,823.67

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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.