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Finding the Fourth Proportional to 5,763.02, 7,956.96 and 4,416.30

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Solution

The fourth proportional to 5,763.02, 7,956.96 and 4,416.30 is: 6,097.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763.02 : 7,956.96 = 4,416.30 : x
  2. Step 2: Convert to fraction form
    5,763.02/7,956.96 = 4,416.30/x
  3. Step 3: Cross multiply
    5,763.02x = 7,956.96 × 4,416.30
  4. Step 4: Simplify right side
    5,763.02x = 35,140,322.45
  5. Step 5: Solve for x
    x = 35,140,322.45/5,763.02
  6. Step 6: Final answer
    x = 6,097.55

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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.