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Finding the Fourth Proportional to 3,298.88, 4,547.64 and 2,302.64

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Solution

The fourth proportional to 3,298.88, 4,547.64 and 2,302.64 is: 3,174.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298.88 : 4,547.64 = 2,302.64 : x
  2. Step 2: Convert to fraction form
    3,298.88/4,547.64 = 2,302.64/x
  3. Step 3: Cross multiply
    3,298.88x = 4,547.64 × 2,302.64
  4. Step 4: Simplify right side
    3,298.88x = 10,471,577.77
  5. Step 5: Solve for x
    x = 10,471,577.77/3,298.88
  6. Step 6: Final answer
    x = 3,174.28

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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.