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Finding the Fourth Proportional to 6,130.41, 8,448.46 and 4,358.94

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Solution

The fourth proportional to 6,130.41, 8,448.46 and 4,358.94 is: 6,007.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,130.41 : 8,448.46 = 4,358.94 : x
  2. Step 2: Convert to fraction form
    6,130.41/8,448.46 = 4,358.94/x
  3. Step 3: Cross multiply
    6,130.41x = 8,448.46 × 4,358.94
  4. Step 4: Simplify right side
    6,130.41x = 36,826,330.23
  5. Step 5: Solve for x
    x = 36,826,330.23/6,130.41
  6. Step 6: Final answer
    x = 6,007.16

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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.