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Finding the Fourth Proportional to 5,852.20, 8,077.86 and 4,815.40

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Solution

The fourth proportional to 5,852.20, 8,077.86 and 4,815.40 is: 6,646.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,852.20 : 8,077.86 = 4,815.40 : x
  2. Step 2: Convert to fraction form
    5,852.20/8,077.86 = 4,815.40/x
  3. Step 3: Cross multiply
    5,852.20x = 8,077.86 × 4,815.40
  4. Step 4: Simplify right side
    5,852.20x = 38,898,127.04
  5. Step 5: Solve for x
    x = 38,898,127.04/5,852.20
  6. Step 6: Final answer
    x = 6,646.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.