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Finding the Fourth Proportional to 4,703.13, 7,055.77 and 1,625.13

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Solution

The fourth proportional to 4,703.13, 7,055.77 and 1,625.13 is: 2,438.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703.13 : 7,055.77 = 1,625.13 : x
  2. Step 2: Convert to fraction form
    4,703.13/7,055.77 = 1,625.13/x
  3. Step 3: Cross multiply
    4,703.13x = 7,055.77 × 1,625.13
  4. Step 4: Simplify right side
    4,703.13x = 11,466,543.50
  5. Step 5: Solve for x
    x = 11,466,543.50/4,703.13
  6. Step 6: Final answer
    x = 2,438.07

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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.