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Finding the Fourth Proportional to 4,688.48, 6,462.11 and 4,291.23

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Solution

The fourth proportional to 4,688.48, 6,462.11 and 4,291.23 is: 5,914.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,688.48 : 6,462.11 = 4,291.23 : x
  2. Step 2: Convert to fraction form
    4,688.48/6,462.11 = 4,291.23/x
  3. Step 3: Cross multiply
    4,688.48x = 6,462.11 × 4,291.23
  4. Step 4: Simplify right side
    4,688.48x = 27,730,378.84
  5. Step 5: Solve for x
    x = 27,730,378.84/4,688.48
  6. Step 6: Final answer
    x = 5,914.58

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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.