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Finding the Fourth Proportional to 4,711.77, 6,499.04 and 3,032.64

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Solution

The fourth proportional to 4,711.77, 6,499.04 and 3,032.64 is: 4,182.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,711.77 : 6,499.04 = 3,032.64 : x
  2. Step 2: Convert to fraction form
    4,711.77/6,499.04 = 3,032.64/x
  3. Step 3: Cross multiply
    4,711.77x = 6,499.04 × 3,032.64
  4. Step 4: Simplify right side
    4,711.77x = 19,709,233.50
  5. Step 5: Solve for x
    x = 19,709,233.50/4,711.77
  6. Step 6: Final answer
    x = 4,182.98

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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.