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Finding the Fourth Proportional to 4,699.86, 7,041.09 and 4,076.58

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Solution

The fourth proportional to 4,699.86, 7,041.09 and 4,076.58 is: 6,107.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,699.86 : 7,041.09 = 4,076.58 : x
  2. Step 2: Convert to fraction form
    4,699.86/7,041.09 = 4,076.58/x
  3. Step 3: Cross multiply
    4,699.86x = 7,041.09 × 4,076.58
  4. Step 4: Simplify right side
    4,699.86x = 28,703,566.67
  5. Step 5: Solve for x
    x = 28,703,566.67/4,699.86
  6. Step 6: Final answer
    x = 6,107.32

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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.