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Finding the Fourth Proportional to 3,554.64, 4,907.52 and 2,507.76

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Solution

The fourth proportional to 3,554.64, 4,907.52 and 2,507.76 is: 3,462.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,554.64 : 4,907.52 = 2,507.76 : x
  2. Step 2: Convert to fraction form
    3,554.64/4,907.52 = 2,507.76/x
  3. Step 3: Cross multiply
    3,554.64x = 4,907.52 × 2,507.76
  4. Step 4: Simplify right side
    3,554.64x = 12,306,882.36
  5. Step 5: Solve for x
    x = 12,306,882.36/3,554.64
  6. Step 6: Final answer
    x = 3,462.20

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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.