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Finding the Fourth Proportional to 3,502.24, 4,828.60 and 2,870.48

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Solution

The fourth proportional to 3,502.24, 4,828.60 and 2,870.48 is: 3,957.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.24 : 4,828.60 = 2,870.48 : x
  2. Step 2: Convert to fraction form
    3,502.24/4,828.60 = 2,870.48/x
  3. Step 3: Cross multiply
    3,502.24x = 4,828.60 × 2,870.48
  4. Step 4: Simplify right side
    3,502.24x = 13,860,399.73
  5. Step 5: Solve for x
    x = 13,860,399.73/3,502.24
  6. Step 6: Final answer
    x = 3,957.58

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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.