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Finding the Fourth Proportional to 4,654.49, 6,980.94 and 1,534.53

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Solution

The fourth proportional to 4,654.49, 6,980.94 and 1,534.53 is: 2,301.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.49 : 6,980.94 = 1,534.53 : x
  2. Step 2: Convert to fraction form
    4,654.49/6,980.94 = 1,534.53/x
  3. Step 3: Cross multiply
    4,654.49x = 6,980.94 × 1,534.53
  4. Step 4: Simplify right side
    4,654.49x = 10,712,461.86
  5. Step 5: Solve for x
    x = 10,712,461.86/4,654.49
  6. Step 6: Final answer
    x = 2,301.53

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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.