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Finding the Fourth Proportional to 4,972.16, 6,861.76 and 4,030.08

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Solution

The fourth proportional to 4,972.16, 6,861.76 and 4,030.08 is: 5,561.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.16 : 6,861.76 = 4,030.08 : x
  2. Step 2: Convert to fraction form
    4,972.16/6,861.76 = 4,030.08/x
  3. Step 3: Cross multiply
    4,972.16x = 6,861.76 × 4,030.08
  4. Step 4: Simplify right side
    4,972.16x = 27,653,441.74
  5. Step 5: Solve for x
    x = 27,653,441.74/4,972.16
  6. Step 6: Final answer
    x = 5,561.66

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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.