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Finding the Fourth Proportional to 4,645.96, 6,409.16 and 3,075.36

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Solution

The fourth proportional to 4,645.96, 6,409.16 and 3,075.36 is: 4,242.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645.96 : 6,409.16 = 3,075.36 : x
  2. Step 2: Convert to fraction form
    4,645.96/6,409.16 = 3,075.36/x
  3. Step 3: Cross multiply
    4,645.96x = 6,409.16 × 3,075.36
  4. Step 4: Simplify right side
    4,645.96x = 19,710,474.30
  5. Step 5: Solve for x
    x = 19,710,474.30/4,645.96
  6. Step 6: Final answer
    x = 4,242.50

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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.