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Finding the Fourth Proportional to 5,498.02, 7,582.86 and 4,833.46

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Solution

The fourth proportional to 5,498.02, 7,582.86 and 4,833.46 is: 6,666.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,498.02 : 7,582.86 = 4,833.46 : x
  2. Step 2: Convert to fraction form
    5,498.02/7,582.86 = 4,833.46/x
  3. Step 3: Cross multiply
    5,498.02x = 7,582.86 × 4,833.46
  4. Step 4: Simplify right side
    5,498.02x = 36,651,450.50
  5. Step 5: Solve for x
    x = 36,651,450.50/5,498.02
  6. Step 6: Final answer
    x = 6,666.30

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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.