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Finding the Fourth Proportional to 4,365.20, 6,024 and 2,596.46

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Solution

The fourth proportional to 4,365.20, 6,024 and 2,596.46 is: 3,583.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,365.20 : 6,024 = 2,596.46 : x
  2. Step 2: Convert to fraction form
    4,365.20/6,024 = 2,596.46/x
  3. Step 3: Cross multiply
    4,365.20x = 6,024 × 2,596.46
  4. Step 4: Simplify right side
    4,365.20x = 15,641,075.04
  5. Step 5: Solve for x
    x = 15,641,075.04/4,365.20
  6. Step 6: Final answer
    x = 3,583.13

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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.