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Finding the Fourth Proportional to 5,565.57, 8,347.03 and 1,615.77

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Solution

The fourth proportional to 5,565.57, 8,347.03 and 1,615.77 is: 2,423.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,565.57 : 8,347.03 = 1,615.77 : x
  2. Step 2: Convert to fraction form
    5,565.57/8,347.03 = 1,615.77/x
  3. Step 3: Cross multiply
    5,565.57x = 8,347.03 × 1,615.77
  4. Step 4: Simplify right side
    5,565.57x = 13,486,880.66
  5. Step 5: Solve for x
    x = 13,486,880.66/5,565.57
  6. Step 6: Final answer
    x = 2,423.27

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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.