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Finding the Fourth Proportional to 6,544.04, 9,026.17 and 4,305.20

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Solution

The fourth proportional to 6,544.04, 9,026.17 and 4,305.20 is: 5,938.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,544.04 : 9,026.17 = 4,305.20 : x
  2. Step 2: Convert to fraction form
    6,544.04/9,026.17 = 4,305.20/x
  3. Step 3: Cross multiply
    6,544.04x = 9,026.17 × 4,305.20
  4. Step 4: Simplify right side
    6,544.04x = 38,859,411.19
  5. Step 5: Solve for x
    x = 38,859,411.19/6,544.04
  6. Step 6: Final answer
    x = 5,938.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.