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Finding the Fourth Proportional to 5,703.47, 7,864.58 and 3,710.33

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Solution

The fourth proportional to 5,703.47, 7,864.58 and 3,710.33 is: 5,116.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.47 : 7,864.58 = 3,710.33 : x
  2. Step 2: Convert to fraction form
    5,703.47/7,864.58 = 3,710.33/x
  3. Step 3: Cross multiply
    5,703.47x = 7,864.58 × 3,710.33
  4. Step 4: Simplify right side
    5,703.47x = 29,180,129.24
  5. Step 5: Solve for x
    x = 29,180,129.24/5,703.47
  6. Step 6: Final answer
    x = 5,116.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.