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Finding the Fourth Proportional to 6,384.84, 8,811.92 and 3,590.88

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Solution

The fourth proportional to 6,384.84, 8,811.92 and 3,590.88 is: 4,955.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.84 : 8,811.92 = 3,590.88 : x
  2. Step 2: Convert to fraction form
    6,384.84/8,811.92 = 3,590.88/x
  3. Step 3: Cross multiply
    6,384.84x = 8,811.92 × 3,590.88
  4. Step 4: Simplify right side
    6,384.84x = 31,642,547.29
  5. Step 5: Solve for x
    x = 31,642,547.29/6,384.84
  6. Step 6: Final answer
    x = 4,955.89

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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.