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Finding the Fourth Proportional to 4,599.90, 6,349.29 and 4,364.79

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Solution

The fourth proportional to 4,599.90, 6,349.29 and 4,364.79 is: 6,024.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,599.90 : 6,349.29 = 4,364.79 : x
  2. Step 2: Convert to fraction form
    4,599.90/6,349.29 = 4,364.79/x
  3. Step 3: Cross multiply
    4,599.90x = 6,349.29 × 4,364.79
  4. Step 4: Simplify right side
    4,599.90x = 27,713,317.50
  5. Step 5: Solve for x
    x = 27,713,317.50/4,599.90
  6. Step 6: Final answer
    x = 6,024.77

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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.