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Finding the Fourth Proportional to 4,599.93, 6,332.34 and 4,156.44

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Solution

The fourth proportional to 4,599.93, 6,332.34 and 4,156.44 is: 5,721.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,599.93 : 6,332.34 = 4,156.44 : x
  2. Step 2: Convert to fraction form
    4,599.93/6,332.34 = 4,156.44/x
  3. Step 3: Cross multiply
    4,599.93x = 6,332.34 × 4,156.44
  4. Step 4: Simplify right side
    4,599.93x = 26,319,991.27
  5. Step 5: Solve for x
    x = 26,319,991.27/4,599.93
  6. Step 6: Final answer
    x = 5,721.82

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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.