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Finding the Fourth Proportional to 4,075.57, 6,114.18 and 1,302.16

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Solution

The fourth proportional to 4,075.57, 6,114.18 and 1,302.16 is: 1,953.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,075.57 : 6,114.18 = 1,302.16 : x
  2. Step 2: Convert to fraction form
    4,075.57/6,114.18 = 1,302.16/x
  3. Step 3: Cross multiply
    4,075.57x = 6,114.18 × 1,302.16
  4. Step 4: Simplify right side
    4,075.57x = 7,961,640.63
  5. Step 5: Solve for x
    x = 7,961,640.63/4,075.57
  6. Step 6: Final answer
    x = 1,953.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.