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Finding the Fourth Proportional to 4,465.29, 6,702.44 and 3,948.69

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Solution

The fourth proportional to 4,465.29, 6,702.44 and 3,948.69 is: 5,927.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,465.29 : 6,702.44 = 3,948.69 : x
  2. Step 2: Convert to fraction form
    4,465.29/6,702.44 = 3,948.69/x
  3. Step 3: Cross multiply
    4,465.29x = 6,702.44 × 3,948.69
  4. Step 4: Simplify right side
    4,465.29x = 26,465,838.06
  5. Step 5: Solve for x
    x = 26,465,838.06/4,465.29
  6. Step 6: Final answer
    x = 5,927.01

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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.