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Finding the Fourth Proportional to 6,589.32, 9,885.80 and 3,810.93

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Solution

The fourth proportional to 6,589.32, 9,885.80 and 3,810.93 is: 5,717.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.32 : 9,885.80 = 3,810.93 : x
  2. Step 2: Convert to fraction form
    6,589.32/9,885.80 = 3,810.93/x
  3. Step 3: Cross multiply
    6,589.32x = 9,885.80 × 3,810.93
  4. Step 4: Simplify right side
    6,589.32x = 37,674,091.79
  5. Step 5: Solve for x
    x = 37,674,091.79/6,589.32
  6. Step 6: Final answer
    x = 5,717.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.