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Finding the Fourth Proportional to 4,308.93, 6,461.80 and 1,534.87

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Solution

The fourth proportional to 4,308.93, 6,461.80 and 1,534.87 is: 2,301.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,308.93 : 6,461.80 = 1,534.87 : x
  2. Step 2: Convert to fraction form
    4,308.93/6,461.80 = 1,534.87/x
  3. Step 3: Cross multiply
    4,308.93x = 6,461.80 × 1,534.87
  4. Step 4: Simplify right side
    4,308.93x = 9,917,988.74
  5. Step 5: Solve for x
    x = 9,917,988.74/4,308.93
  6. Step 6: Final answer
    x = 2,301.73

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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.