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Finding the Fourth Proportional to 4,696.50, 6,475.02 and 4,040.40

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Solution

The fourth proportional to 4,696.50, 6,475.02 and 4,040.40 is: 5,570.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.50 : 6,475.02 = 4,040.40 : x
  2. Step 2: Convert to fraction form
    4,696.50/6,475.02 = 4,040.40/x
  3. Step 3: Cross multiply
    4,696.50x = 6,475.02 × 4,040.40
  4. Step 4: Simplify right side
    4,696.50x = 26,161,670.81
  5. Step 5: Solve for x
    x = 26,161,670.81/4,696.50
  6. Step 6: Final answer
    x = 5,570.46

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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.