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Finding the Fourth Proportional to 6,543.54, 9,030.04 and 3,559.40

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Solution

The fourth proportional to 6,543.54, 9,030.04 and 3,559.40 is: 4,911.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.54 : 9,030.04 = 3,559.40 : x
  2. Step 2: Convert to fraction form
    6,543.54/9,030.04 = 3,559.40/x
  3. Step 3: Cross multiply
    6,543.54x = 9,030.04 × 3,559.40
  4. Step 4: Simplify right side
    6,543.54x = 32,141,524.38
  5. Step 5: Solve for x
    x = 32,141,524.38/6,543.54
  6. Step 6: Final answer
    x = 4,911.95

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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.