Home / 3,301.02-4,947.84-1,566

Finding the Fourth Proportional to 3,301.02, 4,947.84 and 1,566

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Solution

The fourth proportional to 3,301.02, 4,947.84 and 1,566 is: 2,347.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,301.02 : 4,947.84 = 1,566 : x
  2. Step 2: Convert to fraction form
    3,301.02/4,947.84 = 1,566/x
  3. Step 3: Cross multiply
    3,301.02x = 4,947.84 × 1,566
  4. Step 4: Simplify right side
    3,301.02x = 7,748,317.44
  5. Step 5: Solve for x
    x = 7,748,317.44/3,301.02
  6. Step 6: Final answer
    x = 2,347.25

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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.