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Finding the Fourth Proportional to 4,720.16, 7,075.92 and 1,640

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Solution

The fourth proportional to 4,720.16, 7,075.92 and 1,640 is: 2,458.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,720.16 : 7,075.92 = 1,640 : x
  2. Step 2: Convert to fraction form
    4,720.16/7,075.92 = 1,640/x
  3. Step 3: Cross multiply
    4,720.16x = 7,075.92 × 1,640
  4. Step 4: Simplify right side
    4,720.16x = 11,604,508.80
  5. Step 5: Solve for x
    x = 11,604,508.80/4,720.16
  6. Step 6: Final answer
    x = 2,458.50

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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.