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Finding the Fourth Proportional to 5,827.30, 8,762.55 and 4,876.90

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Solution

The fourth proportional to 5,827.30, 8,762.55 and 4,876.90 is: 7,333.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.30 : 8,762.55 = 4,876.90 : x
  2. Step 2: Convert to fraction form
    5,827.30/8,762.55 = 4,876.90/x
  3. Step 3: Cross multiply
    5,827.30x = 8,762.55 × 4,876.90
  4. Step 4: Simplify right side
    5,827.30x = 42,734,080.10
  5. Step 5: Solve for x
    x = 42,734,080.10/5,827.30
  6. Step 6: Final answer
    x = 7,333.43

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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.