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Finding the Fourth Proportional to 4,535.70, 6,253.70 and 3,116.58

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Solution

The fourth proportional to 4,535.70, 6,253.70 and 3,116.58 is: 4,297.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,535.70 : 6,253.70 = 3,116.58 : x
  2. Step 2: Convert to fraction form
    4,535.70/6,253.70 = 3,116.58/x
  3. Step 3: Cross multiply
    4,535.70x = 6,253.70 × 3,116.58
  4. Step 4: Simplify right side
    4,535.70x = 19,490,156.35
  5. Step 5: Solve for x
    x = 19,490,156.35/4,535.70
  6. Step 6: Final answer
    x = 4,297.06

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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.