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Finding the Fourth Proportional to 3,130.84, 4,320.16 and 3,046.87

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Solution

The fourth proportional to 3,130.84, 4,320.16 and 3,046.87 is: 4,204.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.84 : 4,320.16 = 3,046.87 : x
  2. Step 2: Convert to fraction form
    3,130.84/4,320.16 = 3,046.87/x
  3. Step 3: Cross multiply
    3,130.84x = 4,320.16 × 3,046.87
  4. Step 4: Simplify right side
    3,130.84x = 13,162,965.90
  5. Step 5: Solve for x
    x = 13,162,965.90/3,130.84
  6. Step 6: Final answer
    x = 4,204.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.