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Finding the Fourth Proportional to 6,430.50, 8,881.38 and 4,330.98

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Solution

The fourth proportional to 6,430.50, 8,881.38 and 4,330.98 is: 5,981.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.50 : 8,881.38 = 4,330.98 : x
  2. Step 2: Convert to fraction form
    6,430.50/8,881.38 = 4,330.98/x
  3. Step 3: Cross multiply
    6,430.50x = 8,881.38 × 4,330.98
  4. Step 4: Simplify right side
    6,430.50x = 38,465,079.15
  5. Step 5: Solve for x
    x = 38,465,079.15/6,430.50
  6. Step 6: Final answer
    x = 5,981.66

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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.