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Finding the Fourth Proportional to 4,465.74, 6,702.87 and 2,158.86

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Solution

The fourth proportional to 4,465.74, 6,702.87 and 2,158.86 is: 3,240.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,465.74 : 6,702.87 = 2,158.86 : x
  2. Step 2: Convert to fraction form
    4,465.74/6,702.87 = 2,158.86/x
  3. Step 3: Cross multiply
    4,465.74x = 6,702.87 × 2,158.86
  4. Step 4: Simplify right side
    4,465.74x = 14,470,557.93
  5. Step 5: Solve for x
    x = 14,470,557.93/4,465.74
  6. Step 6: Final answer
    x = 3,240.35

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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.