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Finding the Fourth Proportional to 5,430.42, 7,493.90 and 2,946.42

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Solution

The fourth proportional to 5,430.42, 7,493.90 and 2,946.42 is: 4,066.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,430.42 : 7,493.90 = 2,946.42 : x
  2. Step 2: Convert to fraction form
    5,430.42/7,493.90 = 2,946.42/x
  3. Step 3: Cross multiply
    5,430.42x = 7,493.90 × 2,946.42
  4. Step 4: Simplify right side
    5,430.42x = 22,080,162.11
  5. Step 5: Solve for x
    x = 22,080,162.11/5,430.42
  6. Step 6: Final answer
    x = 4,066.01

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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.