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Finding the Fourth Proportional to 3,534.64, 4,878.06 and 2,648.88

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Solution

The fourth proportional to 3,534.64, 4,878.06 and 2,648.88 is: 3,655.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.64 : 4,878.06 = 2,648.88 : x
  2. Step 2: Convert to fraction form
    3,534.64/4,878.06 = 2,648.88/x
  3. Step 3: Cross multiply
    3,534.64x = 4,878.06 × 2,648.88
  4. Step 4: Simplify right side
    3,534.64x = 12,921,395.57
  5. Step 5: Solve for x
    x = 12,921,395.57/3,534.64
  6. Step 6: Final answer
    x = 3,655.65

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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.