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Finding the Fourth Proportional to 5,263.02, 7,893.90 and 1,565.22

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Solution

The fourth proportional to 5,263.02, 7,893.90 and 1,565.22 is: 2,347.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,263.02 : 7,893.90 = 1,565.22 : x
  2. Step 2: Convert to fraction form
    5,263.02/7,893.90 = 1,565.22/x
  3. Step 3: Cross multiply
    5,263.02x = 7,893.90 × 1,565.22
  4. Step 4: Simplify right side
    5,263.02x = 12,355,690.16
  5. Step 5: Solve for x
    x = 12,355,690.16/5,263.02
  6. Step 6: Final answer
    x = 2,347.64

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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.