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Finding the Fourth Proportional to 6,585.84, 9,088.07 and 3,601.67

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Solution

The fourth proportional to 6,585.84, 9,088.07 and 3,601.67 is: 4,970.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,585.84 : 9,088.07 = 3,601.67 : x
  2. Step 2: Convert to fraction form
    6,585.84/9,088.07 = 3,601.67/x
  3. Step 3: Cross multiply
    6,585.84x = 9,088.07 × 3,601.67
  4. Step 4: Simplify right side
    6,585.84x = 32,732,165.63
  5. Step 5: Solve for x
    x = 32,732,165.63/6,585.84
  6. Step 6: Final answer
    x = 4,970.08

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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.