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Finding the Fourth Proportional to 4,306.91, 6,461.28 and 1,533.58

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Solution

The fourth proportional to 4,306.91, 6,461.28 and 1,533.58 is: 2,300.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,306.91 : 6,461.28 = 1,533.58 : x
  2. Step 2: Convert to fraction form
    4,306.91/6,461.28 = 1,533.58/x
  3. Step 3: Cross multiply
    4,306.91x = 6,461.28 × 1,533.58
  4. Step 4: Simplify right side
    4,306.91x = 9,908,873.63
  5. Step 5: Solve for x
    x = 9,908,873.63/4,306.91
  6. Step 6: Final answer
    x = 2,300.69

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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.