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Finding the Fourth Proportional to 4,733.61, 6,529.01 and 4,103.01

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Solution

The fourth proportional to 4,733.61, 6,529.01 and 4,103.01 is: 5,659.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,733.61 : 6,529.01 = 4,103.01 : x
  2. Step 2: Convert to fraction form
    4,733.61/6,529.01 = 4,103.01/x
  3. Step 3: Cross multiply
    4,733.61x = 6,529.01 × 4,103.01
  4. Step 4: Simplify right side
    4,733.61x = 26,788,572.81
  5. Step 5: Solve for x
    x = 26,788,572.81/4,733.61
  6. Step 6: Final answer
    x = 5,659.23

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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.