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Finding the Fourth Proportional to 4,688.16, 6,455.73 and 3,359.58

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Solution

The fourth proportional to 4,688.16, 6,455.73 and 3,359.58 is: 4,626.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,688.16 : 6,455.73 = 3,359.58 : x
  2. Step 2: Convert to fraction form
    4,688.16/6,455.73 = 3,359.58/x
  3. Step 3: Cross multiply
    4,688.16x = 6,455.73 × 3,359.58
  4. Step 4: Simplify right side
    4,688.16x = 21,688,541.39
  5. Step 5: Solve for x
    x = 21,688,541.39/4,688.16
  6. Step 6: Final answer
    x = 4,626.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.