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Finding the Fourth Proportional to 3,756.64, 5,630.08 and 1,564.16

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Solution

The fourth proportional to 3,756.64, 5,630.08 and 1,564.16 is: 2,344.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,756.64 : 5,630.08 = 1,564.16 : x
  2. Step 2: Convert to fraction form
    3,756.64/5,630.08 = 1,564.16/x
  3. Step 3: Cross multiply
    3,756.64x = 5,630.08 × 1,564.16
  4. Step 4: Simplify right side
    3,756.64x = 8,806,345.93
  5. Step 5: Solve for x
    x = 8,806,345.93/3,756.64
  6. Step 6: Final answer
    x = 2,344.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.