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Finding the Fourth Proportional to 5,875.92, 8,813.88 and 2,800.08

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Solution

The fourth proportional to 5,875.92, 8,813.88 and 2,800.08 is: 4,200.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,875.92 : 8,813.88 = 2,800.08 : x
  2. Step 2: Convert to fraction form
    5,875.92/8,813.88 = 2,800.08/x
  3. Step 3: Cross multiply
    5,875.92x = 8,813.88 × 2,800.08
  4. Step 4: Simplify right side
    5,875.92x = 24,679,569.11
  5. Step 5: Solve for x
    x = 24,679,569.11/5,875.92
  6. Step 6: Final answer
    x = 4,200.12

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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.