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Finding the Fourth Proportional to 4,280.31, 6,420.07 and 1,506.84

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Solution

The fourth proportional to 4,280.31, 6,420.07 and 1,506.84 is: 2,260.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,280.31 : 6,420.07 = 1,506.84 : x
  2. Step 2: Convert to fraction form
    4,280.31/6,420.07 = 1,506.84/x
  3. Step 3: Cross multiply
    4,280.31x = 6,420.07 × 1,506.84
  4. Step 4: Simplify right side
    4,280.31x = 9,674,000.21
  5. Step 5: Solve for x
    x = 9,674,000.21/4,280.31
  6. Step 6: Final answer
    x = 2,260.12

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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.