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Finding the Fourth Proportional to 5,765.16, 7,956.32 and 4,346.35

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Solution

The fourth proportional to 5,765.16, 7,956.32 and 4,346.35 is: 5,998.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.16 : 7,956.32 = 4,346.35 : x
  2. Step 2: Convert to fraction form
    5,765.16/7,956.32 = 4,346.35/x
  3. Step 3: Cross multiply
    5,765.16x = 7,956.32 × 4,346.35
  4. Step 4: Simplify right side
    5,765.16x = 34,580,909.81
  5. Step 5: Solve for x
    x = 34,580,909.81/5,765.16
  6. Step 6: Final answer
    x = 5,998.25

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