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Finding the Fourth Proportional to 4,809.60, 7,214.13 and 2,176.47

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Solution

The fourth proportional to 4,809.60, 7,214.13 and 2,176.47 is: 3,264.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,809.60 : 7,214.13 = 2,176.47 : x
  2. Step 2: Convert to fraction form
    4,809.60/7,214.13 = 2,176.47/x
  3. Step 3: Cross multiply
    4,809.60x = 7,214.13 × 2,176.47
  4. Step 4: Simplify right side
    4,809.60x = 15,701,337.52
  5. Step 5: Solve for x
    x = 15,701,337.52/4,809.60
  6. Step 6: Final answer
    x = 3,264.58

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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.