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Finding the Fourth Proportional to 5,823.80, 8,698.52 and 5,046.20

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Solution

The fourth proportional to 5,823.80, 8,698.52 and 5,046.20 is: 7,537.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,823.80 : 8,698.52 = 5,046.20 : x
  2. Step 2: Convert to fraction form
    5,823.80/8,698.52 = 5,046.20/x
  3. Step 3: Cross multiply
    5,823.80x = 8,698.52 × 5,046.20
  4. Step 4: Simplify right side
    5,823.80x = 43,894,471.62
  5. Step 5: Solve for x
    x = 43,894,471.62/5,823.80
  6. Step 6: Final answer
    x = 7,537.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.