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Finding the Fourth Proportional to 3,656.60, 5,484.90 and 1,024.10

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Solution

The fourth proportional to 3,656.60, 5,484.90 and 1,024.10 is: 1,536.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.60 : 5,484.90 = 1,024.10 : x
  2. Step 2: Convert to fraction form
    3,656.60/5,484.90 = 1,024.10/x
  3. Step 3: Cross multiply
    3,656.60x = 5,484.90 × 1,024.10
  4. Step 4: Simplify right side
    3,656.60x = 5,617,086.09
  5. Step 5: Solve for x
    x = 5,617,086.09/3,656.60
  6. Step 6: Final answer
    x = 1,536.15

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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.