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Finding the Fourth Proportional to 4,609.44, 6,360 and 3,904.16

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Solution

The fourth proportional to 4,609.44, 6,360 and 3,904.16 is: 5,386.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.44 : 6,360 = 3,904.16 : x
  2. Step 2: Convert to fraction form
    4,609.44/6,360 = 3,904.16/x
  3. Step 3: Cross multiply
    4,609.44x = 6,360 × 3,904.16
  4. Step 4: Simplify right side
    4,609.44x = 24,830,457.60
  5. Step 5: Solve for x
    x = 24,830,457.60/4,609.44
  6. Step 6: Final answer
    x = 5,386.87

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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.