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Finding the Fourth Proportional to 3,502.84, 4,830.36 and 2,558.78

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Solution

The fourth proportional to 3,502.84, 4,830.36 and 2,558.78 is: 3,528.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.84 : 4,830.36 = 2,558.78 : x
  2. Step 2: Convert to fraction form
    3,502.84/4,830.36 = 2,558.78/x
  3. Step 3: Cross multiply
    3,502.84x = 4,830.36 × 2,558.78
  4. Step 4: Simplify right side
    3,502.84x = 12,359,828.56
  5. Step 5: Solve for x
    x = 12,359,828.56/3,502.84
  6. Step 6: Final answer
    x = 3,528.52

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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.