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Finding the Fourth Proportional to 4,307.66, 6,432.32 and 3,420.21

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Solution

The fourth proportional to 4,307.66, 6,432.32 and 3,420.21 is: 5,107.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,307.66 : 6,432.32 = 3,420.21 : x
  2. Step 2: Convert to fraction form
    4,307.66/6,432.32 = 3,420.21/x
  3. Step 3: Cross multiply
    4,307.66x = 6,432.32 × 3,420.21
  4. Step 4: Simplify right side
    4,307.66x = 21,999,862.44
  5. Step 5: Solve for x
    x = 21,999,862.44/4,307.66
  6. Step 6: Final answer
    x = 5,107.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.