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Finding the Fourth Proportional to 5,262.96, 7,895.40 and 1,565.16

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Solution

The fourth proportional to 5,262.96, 7,895.40 and 1,565.16 is: 2,348.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,262.96 : 7,895.40 = 1,565.16 : x
  2. Step 2: Convert to fraction form
    5,262.96/7,895.40 = 1,565.16/x
  3. Step 3: Cross multiply
    5,262.96x = 7,895.40 × 1,565.16
  4. Step 4: Simplify right side
    5,262.96x = 12,357,564.26
  5. Step 5: Solve for x
    x = 12,357,564.26/5,262.96
  6. Step 6: Final answer
    x = 2,348.03

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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.