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Finding the Fourth Proportional to 3,133.50, 4,681.89 and 3,024.51

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Solution

The fourth proportional to 3,133.50, 4,681.89 and 3,024.51 is: 4,519.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.50 : 4,681.89 = 3,024.51 : x
  2. Step 2: Convert to fraction form
    3,133.50/4,681.89 = 3,024.51/x
  3. Step 3: Cross multiply
    3,133.50x = 4,681.89 × 3,024.51
  4. Step 4: Simplify right side
    3,133.50x = 14,160,423.12
  5. Step 5: Solve for x
    x = 14,160,423.12/3,133.50
  6. Step 6: Final answer
    x = 4,519.04

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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.