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Finding the Fourth Proportional to 4,354.11, 6,522.65 and 3,478.40

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Solution

The fourth proportional to 4,354.11, 6,522.65 and 3,478.40 is: 5,210.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,354.11 : 6,522.65 = 3,478.40 : x
  2. Step 2: Convert to fraction form
    4,354.11/6,522.65 = 3,478.40/x
  3. Step 3: Cross multiply
    4,354.11x = 6,522.65 × 3,478.40
  4. Step 4: Simplify right side
    4,354.11x = 22,688,385.76
  5. Step 5: Solve for x
    x = 22,688,385.76/4,354.11
  6. Step 6: Final answer
    x = 5,210.80

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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.