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Finding the Fourth Proportional to 4,503.16, 6,750.42 and 1,423

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Solution

The fourth proportional to 4,503.16, 6,750.42 and 1,423 is: 2,133.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,503.16 : 6,750.42 = 1,423 : x
  2. Step 2: Convert to fraction form
    4,503.16/6,750.42 = 1,423/x
  3. Step 3: Cross multiply
    4,503.16x = 6,750.42 × 1,423
  4. Step 4: Simplify right side
    4,503.16x = 9,605,847.66
  5. Step 5: Solve for x
    x = 9,605,847.66/4,503.16
  6. Step 6: Final answer
    x = 2,133.13

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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.