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Finding the Fourth Proportional to 5,322.98, 7,345.54 and 2,965

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Solution

The fourth proportional to 5,322.98, 7,345.54 and 2,965 is: 4,091.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322.98 : 7,345.54 = 2,965 : x
  2. Step 2: Convert to fraction form
    5,322.98/7,345.54 = 2,965/x
  3. Step 3: Cross multiply
    5,322.98x = 7,345.54 × 2,965
  4. Step 4: Simplify right side
    5,322.98x = 21,779,526.10
  5. Step 5: Solve for x
    x = 21,779,526.10/5,322.98
  6. Step 6: Final answer
    x = 4,091.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.