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Finding the Fourth Proportional to 5,430.68, 7,493.82 and 4,314.32

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Solution

The fourth proportional to 5,430.68, 7,493.82 and 4,314.32 is: 5,953.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,430.68 : 7,493.82 = 4,314.32 : x
  2. Step 2: Convert to fraction form
    5,430.68/7,493.82 = 4,314.32/x
  3. Step 3: Cross multiply
    5,430.68x = 7,493.82 × 4,314.32
  4. Step 4: Simplify right side
    5,430.68x = 32,330,737.50
  5. Step 5: Solve for x
    x = 32,330,737.50/5,430.68
  6. Step 6: Final answer
    x = 5,953.35

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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.