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Finding the Fourth Proportional to 6,585.98, 9,088.65 and 3,601.80

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Solution

The fourth proportional to 6,585.98, 9,088.65 and 3,601.80 is: 4,970.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,585.98 : 9,088.65 = 3,601.80 : x
  2. Step 2: Convert to fraction form
    6,585.98/9,088.65 = 3,601.80/x
  3. Step 3: Cross multiply
    6,585.98x = 9,088.65 × 3,601.80
  4. Step 4: Simplify right side
    6,585.98x = 32,735,499.57
  5. Step 5: Solve for x
    x = 32,735,499.57/6,585.98
  6. Step 6: Final answer
    x = 4,970.48

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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.