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Finding the Fourth Proportional to 4,497.77, 6,712.30 and 4,005.69

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Solution

The fourth proportional to 4,497.77, 6,712.30 and 4,005.69 is: 5,977.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,497.77 : 6,712.30 = 4,005.69 : x
  2. Step 2: Convert to fraction form
    4,497.77/6,712.30 = 4,005.69/x
  3. Step 3: Cross multiply
    4,497.77x = 6,712.30 × 4,005.69
  4. Step 4: Simplify right side
    4,497.77x = 26,887,392.99
  5. Step 5: Solve for x
    x = 26,887,392.99/4,497.77
  6. Step 6: Final answer
    x = 5,977.94

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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.