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Finding the Fourth Proportional to 3,184.88, 4,744.47 and 3,088.14

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Solution

The fourth proportional to 3,184.88, 4,744.47 and 3,088.14 is: 4,600.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.88 : 4,744.47 = 3,088.14 : x
  2. Step 2: Convert to fraction form
    3,184.88/4,744.47 = 3,088.14/x
  3. Step 3: Cross multiply
    3,184.88x = 4,744.47 × 3,088.14
  4. Step 4: Simplify right side
    3,184.88x = 14,651,587.59
  5. Step 5: Solve for x
    x = 14,651,587.59/3,184.88
  6. Step 6: Final answer
    x = 4,600.37

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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.