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Finding the Fourth Proportional to 5,053.98, 6,973.32 and 3,064.50

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Solution

The fourth proportional to 5,053.98, 6,973.32 and 3,064.50 is: 4,228.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,053.98 : 6,973.32 = 3,064.50 : x
  2. Step 2: Convert to fraction form
    5,053.98/6,973.32 = 3,064.50/x
  3. Step 3: Cross multiply
    5,053.98x = 6,973.32 × 3,064.50
  4. Step 4: Simplify right side
    5,053.98x = 21,369,739.14
  5. Step 5: Solve for x
    x = 21,369,739.14/5,053.98
  6. Step 6: Final answer
    x = 4,228.30

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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.