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Finding the Fourth Proportional to 4,643.34, 6,963.62 and 1,355.40

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Solution

The fourth proportional to 4,643.34, 6,963.62 and 1,355.40 is: 2,032.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.34 : 6,963.62 = 1,355.40 : x
  2. Step 2: Convert to fraction form
    4,643.34/6,963.62 = 1,355.40/x
  3. Step 3: Cross multiply
    4,643.34x = 6,963.62 × 1,355.40
  4. Step 4: Simplify right side
    4,643.34x = 9,438,490.55
  5. Step 5: Solve for x
    x = 9,438,490.55/4,643.34
  6. Step 6: Final answer
    x = 2,032.69

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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.