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Finding the Fourth Proportional to 6,590.94, 9,095.49 and 3,606.77

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Solution

The fourth proportional to 6,590.94, 9,095.49 and 3,606.77 is: 4,977.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,590.94 : 9,095.49 = 3,606.77 : x
  2. Step 2: Convert to fraction form
    6,590.94/9,095.49 = 3,606.77/x
  3. Step 3: Cross multiply
    6,590.94x = 9,095.49 × 3,606.77
  4. Step 4: Simplify right side
    6,590.94x = 32,805,329.10
  5. Step 5: Solve for x
    x = 32,805,329.10/6,590.94
  6. Step 6: Final answer
    x = 4,977.34

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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.