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Finding the Fourth Proportional to 3,164.48, 4,746.74 and 2,075.74

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Solution

The fourth proportional to 3,164.48, 4,746.74 and 2,075.74 is: 3,113.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.48 : 4,746.74 = 2,075.74 : x
  2. Step 2: Convert to fraction form
    3,164.48/4,746.74 = 2,075.74/x
  3. Step 3: Cross multiply
    3,164.48x = 4,746.74 × 2,075.74
  4. Step 4: Simplify right side
    3,164.48x = 9,852,998.09
  5. Step 5: Solve for x
    x = 9,852,998.09/3,164.48
  6. Step 6: Final answer
    x = 3,113.62

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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.