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Finding the Fourth Proportional to 3,314.36, 4,970.82 and 1,005.32

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Solution

The fourth proportional to 3,314.36, 4,970.82 and 1,005.32 is: 1,507.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.36 : 4,970.82 = 1,005.32 : x
  2. Step 2: Convert to fraction form
    3,314.36/4,970.82 = 1,005.32/x
  3. Step 3: Cross multiply
    3,314.36x = 4,970.82 × 1,005.32
  4. Step 4: Simplify right side
    3,314.36x = 4,997,264.76
  5. Step 5: Solve for x
    x = 4,997,264.76/3,314.36
  6. Step 6: Final answer
    x = 1,507.76

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