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Finding the Fourth Proportional to 4,927.72, 7,386.14 and 2,005.32

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Solution

The fourth proportional to 4,927.72, 7,386.14 and 2,005.32 is: 3,005.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,927.72 : 7,386.14 = 2,005.32 : x
  2. Step 2: Convert to fraction form
    4,927.72/7,386.14 = 2,005.32/x
  3. Step 3: Cross multiply
    4,927.72x = 7,386.14 × 2,005.32
  4. Step 4: Simplify right side
    4,927.72x = 14,811,574.26
  5. Step 5: Solve for x
    x = 14,811,574.26/4,927.72
  6. Step 6: Final answer
    x = 3,005.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.