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Finding the Fourth Proportional to 4,316.20, 6,475.20 and 2,465.80

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Solution

The fourth proportional to 4,316.20, 6,475.20 and 2,465.80 is: 3,699.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,316.20 : 6,475.20 = 2,465.80 : x
  2. Step 2: Convert to fraction form
    4,316.20/6,475.20 = 2,465.80/x
  3. Step 3: Cross multiply
    4,316.20x = 6,475.20 × 2,465.80
  4. Step 4: Simplify right side
    4,316.20x = 15,966,548.16
  5. Step 5: Solve for x
    x = 15,966,548.16/4,316.20
  6. Step 6: Final answer
    x = 3,699.21

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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.