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Finding the Fourth Proportional to 4,560.35, 6,830.78 and 4,214.48

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Solution

The fourth proportional to 4,560.35, 6,830.78 and 4,214.48 is: 6,312.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,560.35 : 6,830.78 = 4,214.48 : x
  2. Step 2: Convert to fraction form
    4,560.35/6,830.78 = 4,214.48/x
  3. Step 3: Cross multiply
    4,560.35x = 6,830.78 × 4,214.48
  4. Step 4: Simplify right side
    4,560.35x = 28,788,130.47
  5. Step 5: Solve for x
    x = 28,788,130.47/4,560.35
  6. Step 6: Final answer
    x = 6,312.71

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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.