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Finding the Fourth Proportional to 4,681.96, 6,465.90 and 3,888.16

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Solution

The fourth proportional to 4,681.96, 6,465.90 and 3,888.16 is: 5,369.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,681.96 : 6,465.90 = 3,888.16 : x
  2. Step 2: Convert to fraction form
    4,681.96/6,465.90 = 3,888.16/x
  3. Step 3: Cross multiply
    4,681.96x = 6,465.90 × 3,888.16
  4. Step 4: Simplify right side
    4,681.96x = 25,140,453.74
  5. Step 5: Solve for x
    x = 25,140,453.74/4,681.96
  6. Step 6: Final answer
    x = 5,369.64

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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.