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Finding the Fourth Proportional to 3,844.04, 5,302.80 and 2,585.40

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Solution

The fourth proportional to 3,844.04, 5,302.80 and 2,585.40 is: 3,566.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,844.04 : 5,302.80 = 2,585.40 : x
  2. Step 2: Convert to fraction form
    3,844.04/5,302.80 = 2,585.40/x
  3. Step 3: Cross multiply
    3,844.04x = 5,302.80 × 2,585.40
  4. Step 4: Simplify right side
    3,844.04x = 13,709,859.12
  5. Step 5: Solve for x
    x = 13,709,859.12/3,844.04
  6. Step 6: Final answer
    x = 3,566.52

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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.