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Finding the Fourth Proportional to 3,065.57, 4,598.35 and 1,421.90

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Solution

The fourth proportional to 3,065.57, 4,598.35 and 1,421.90 is: 2,132.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.57 : 4,598.35 = 1,421.90 : x
  2. Step 2: Convert to fraction form
    3,065.57/4,598.35 = 1,421.90/x
  3. Step 3: Cross multiply
    3,065.57x = 4,598.35 × 1,421.90
  4. Step 4: Simplify right side
    3,065.57x = 6,538,393.87
  5. Step 5: Solve for x
    x = 6,538,393.87/3,065.57
  6. Step 6: Final answer
    x = 2,132.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.