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Finding the Fourth Proportional to 3,482.64, 5,223.89 and 885.58

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Solution

The fourth proportional to 3,482.64, 5,223.89 and 885.58 is: 1,328.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.64 : 5,223.89 = 885.58 : x
  2. Step 2: Convert to fraction form
    3,482.64/5,223.89 = 885.58/x
  3. Step 3: Cross multiply
    3,482.64x = 5,223.89 × 885.58
  4. Step 4: Simplify right side
    3,482.64x = 4,626,161.66
  5. Step 5: Solve for x
    x = 4,626,161.66/3,482.64
  6. Step 6: Final answer
    x = 1,328.35

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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.