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Finding the Fourth Proportional to 6,585.95, 9,089.22 and 3,602.22

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Solution

The fourth proportional to 6,585.95, 9,089.22 and 3,602.22 is: 4,971.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,585.95 : 9,089.22 = 3,602.22 : x
  2. Step 2: Convert to fraction form
    6,585.95/9,089.22 = 3,602.22/x
  3. Step 3: Cross multiply
    6,585.95x = 9,089.22 × 3,602.22
  4. Step 4: Simplify right side
    6,585.95x = 32,741,370.07
  5. Step 5: Solve for x
    x = 32,741,370.07/6,585.95
  6. Step 6: Final answer
    x = 4,971.40

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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.