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Finding the Fourth Proportional to 4,597.65, 6,346.17 and 4,362.53

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Solution

The fourth proportional to 4,597.65, 6,346.17 and 4,362.53 is: 6,021.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.65 : 6,346.17 = 4,362.53 : x
  2. Step 2: Convert to fraction form
    4,597.65/6,346.17 = 4,362.53/x
  3. Step 3: Cross multiply
    4,597.65x = 6,346.17 × 4,362.53
  4. Step 4: Simplify right side
    4,597.65x = 27,685,325.28
  5. Step 5: Solve for x
    x = 27,685,325.28/4,597.65
  6. Step 6: Final answer
    x = 6,021.63

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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.