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Finding the Fourth Proportional to 6,585.66, 9,878.68 and 2,885.98

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Solution

The fourth proportional to 6,585.66, 9,878.68 and 2,885.98 is: 4,329.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,585.66 : 9,878.68 = 2,885.98 : x
  2. Step 2: Convert to fraction form
    6,585.66/9,878.68 = 2,885.98/x
  3. Step 3: Cross multiply
    6,585.66x = 9,878.68 × 2,885.98
  4. Step 4: Simplify right side
    6,585.66x = 28,509,672.91
  5. Step 5: Solve for x
    x = 28,509,672.91/6,585.66
  6. Step 6: Final answer
    x = 4,329.05

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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.