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Finding the Fourth Proportional to 3,416.16, 5,117.31 and 1,564.74

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Solution

The fourth proportional to 3,416.16, 5,117.31 and 1,564.74 is: 2,343.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.16 : 5,117.31 = 1,564.74 : x
  2. Step 2: Convert to fraction form
    3,416.16/5,117.31 = 1,564.74/x
  3. Step 3: Cross multiply
    3,416.16x = 5,117.31 × 1,564.74
  4. Step 4: Simplify right side
    3,416.16x = 8,007,259.65
  5. Step 5: Solve for x
    x = 8,007,259.65/3,416.16
  6. Step 6: Final answer
    x = 2,343.94

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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.