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Finding the Fourth Proportional to 4,628.81, 6,390.74 and 4,130.59

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Solution

The fourth proportional to 4,628.81, 6,390.74 and 4,130.59 is: 5,702.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,628.81 : 6,390.74 = 4,130.59 : x
  2. Step 2: Convert to fraction form
    4,628.81/6,390.74 = 4,130.59/x
  3. Step 3: Cross multiply
    4,628.81x = 6,390.74 × 4,130.59
  4. Step 4: Simplify right side
    4,628.81x = 26,397,521.82
  5. Step 5: Solve for x
    x = 26,397,521.82/4,628.81
  6. Step 6: Final answer
    x = 5,702.88

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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.