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Finding the Fourth Proportional to 5,703.96, 7,875.80 and 4,289.68

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Solution

The fourth proportional to 5,703.96, 7,875.80 and 4,289.68 is: 5,923.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.96 : 7,875.80 = 4,289.68 : x
  2. Step 2: Convert to fraction form
    5,703.96/7,875.80 = 4,289.68/x
  3. Step 3: Cross multiply
    5,703.96x = 7,875.80 × 4,289.68
  4. Step 4: Simplify right side
    5,703.96x = 33,784,661.74
  5. Step 5: Solve for x
    x = 33,784,661.74/5,703.96
  6. Step 6: Final answer
    x = 5,923.02

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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.