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Finding the Fourth Proportional to 4,657.65, 6,989.98 and 2,466.87

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Solution

The fourth proportional to 4,657.65, 6,989.98 and 2,466.87 is: 3,702.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.65 : 6,989.98 = 2,466.87 : x
  2. Step 2: Convert to fraction form
    4,657.65/6,989.98 = 2,466.87/x
  3. Step 3: Cross multiply
    4,657.65x = 6,989.98 × 2,466.87
  4. Step 4: Simplify right side
    4,657.65x = 17,243,371.96
  5. Step 5: Solve for x
    x = 17,243,371.96/4,657.65
  6. Step 6: Final answer
    x = 3,702.16

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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.