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Finding the Fourth Proportional to 6,585.67, 9,088.16 and 3,601.48

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Solution

The fourth proportional to 6,585.67, 9,088.16 and 3,601.48 is: 4,970.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,585.67 : 9,088.16 = 3,601.48 : x
  2. Step 2: Convert to fraction form
    6,585.67/9,088.16 = 3,601.48/x
  3. Step 3: Cross multiply
    6,585.67x = 9,088.16 × 3,601.48
  4. Step 4: Simplify right side
    6,585.67x = 32,730,781.04
  5. Step 5: Solve for x
    x = 32,730,781.04/6,585.67
  6. Step 6: Final answer
    x = 4,970.00

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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.