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Finding the Fourth Proportional to 5,877.13, 8,815.65 and 5,534.77

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Solution

The fourth proportional to 5,877.13, 8,815.65 and 5,534.77 is: 8,302.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877.13 : 8,815.65 = 5,534.77 : x
  2. Step 2: Convert to fraction form
    5,877.13/8,815.65 = 5,534.77/x
  3. Step 3: Cross multiply
    5,877.13x = 8,815.65 × 5,534.77
  4. Step 4: Simplify right side
    5,877.13x = 48,792,595.15
  5. Step 5: Solve for x
    x = 48,792,595.15/5,877.13
  6. Step 6: Final answer
    x = 8,302.11

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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.