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Finding the Fourth Proportional to 4,316.40, 6,473.70 and 1,505.10

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Solution

The fourth proportional to 4,316.40, 6,473.70 and 1,505.10 is: 2,257.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,316.40 : 6,473.70 = 1,505.10 : x
  2. Step 2: Convert to fraction form
    4,316.40/6,473.70 = 1,505.10/x
  3. Step 3: Cross multiply
    4,316.40x = 6,473.70 × 1,505.10
  4. Step 4: Simplify right side
    4,316.40x = 9,743,565.87
  5. Step 5: Solve for x
    x = 9,743,565.87/4,316.40
  6. Step 6: Final answer
    x = 2,257.34

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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.