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Finding the Fourth Proportional to 3,646.16, 5,032.60 and 2,075.16

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Solution

The fourth proportional to 3,646.16, 5,032.60 and 2,075.16 is: 2,864.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.16 : 5,032.60 = 2,075.16 : x
  2. Step 2: Convert to fraction form
    3,646.16/5,032.60 = 2,075.16/x
  3. Step 3: Cross multiply
    3,646.16x = 5,032.60 × 2,075.16
  4. Step 4: Simplify right side
    3,646.16x = 10,443,450.22
  5. Step 5: Solve for x
    x = 10,443,450.22/3,646.16
  6. Step 6: Final answer
    x = 2,864.23

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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.