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Finding the Fourth Proportional to 3,132.58, 4,674.35 and 3,114.35

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Solution

The fourth proportional to 3,132.58, 4,674.35 and 3,114.35 is: 4,647.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,132.58 : 4,674.35 = 3,114.35 : x
  2. Step 2: Convert to fraction form
    3,132.58/4,674.35 = 3,114.35/x
  3. Step 3: Cross multiply
    3,132.58x = 4,674.35 × 3,114.35
  4. Step 4: Simplify right side
    3,132.58x = 14,557,561.92
  5. Step 5: Solve for x
    x = 14,557,561.92/3,132.58
  6. Step 6: Final answer
    x = 4,647.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.