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Finding the Fourth Proportional to 3,502.60, 5,252.68 and 1,036.77

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Solution

The fourth proportional to 3,502.60, 5,252.68 and 1,036.77 is: 1,554.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.60 : 5,252.68 = 1,036.77 : x
  2. Step 2: Convert to fraction form
    3,502.60/5,252.68 = 1,036.77/x
  3. Step 3: Cross multiply
    3,502.60x = 5,252.68 × 1,036.77
  4. Step 4: Simplify right side
    3,502.60x = 5,445,821.04
  5. Step 5: Solve for x
    x = 5,445,821.04/3,502.60
  6. Step 6: Final answer
    x = 1,554.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.