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Finding the Fourth Proportional to 6,574.92, 9,073.34 and 3,590.75

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Solution

The fourth proportional to 6,574.92, 9,073.34 and 3,590.75 is: 4,955.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.92 : 9,073.34 = 3,590.75 : x
  2. Step 2: Convert to fraction form
    6,574.92/9,073.34 = 3,590.75/x
  3. Step 3: Cross multiply
    6,574.92x = 9,073.34 × 3,590.75
  4. Step 4: Simplify right side
    6,574.92x = 32,580,095.61
  5. Step 5: Solve for x
    x = 32,580,095.61/6,574.92
  6. Step 6: Final answer
    x = 4,955.21

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