Home / 5,103.65-7,655.51-1,406.08

Finding the Fourth Proportional to 5,103.65, 7,655.51 and 1,406.08

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Solution

The fourth proportional to 5,103.65, 7,655.51 and 1,406.08 is: 2,109.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103.65 : 7,655.51 = 1,406.08 : x
  2. Step 2: Convert to fraction form
    5,103.65/7,655.51 = 1,406.08/x
  3. Step 3: Cross multiply
    5,103.65x = 7,655.51 × 1,406.08
  4. Step 4: Simplify right side
    5,103.65x = 10,764,259.50
  5. Step 5: Solve for x
    x = 10,764,259.50/5,103.65
  6. Step 6: Final answer
    x = 2,109.13

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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.