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Finding the Fourth Proportional to 3,509.12, 5,263.68 and 912.04

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Solution

The fourth proportional to 3,509.12, 5,263.68 and 912.04 is: 1,368.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.12 : 5,263.68 = 912.04 : x
  2. Step 2: Convert to fraction form
    3,509.12/5,263.68 = 912.04/x
  3. Step 3: Cross multiply
    3,509.12x = 5,263.68 × 912.04
  4. Step 4: Simplify right side
    3,509.12x = 4,800,686.71
  5. Step 5: Solve for x
    x = 4,800,686.71/3,509.12
  6. Step 6: Final answer
    x = 1,368.06

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Why These Related Problems?

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