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Finding the Fourth Proportional to 3,656.36, 5,483.16 and 1,315.70

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Solution

The fourth proportional to 3,656.36, 5,483.16 and 1,315.70 is: 1,973.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.36 : 5,483.16 = 1,315.70 : x
  2. Step 2: Convert to fraction form
    3,656.36/5,483.16 = 1,315.70/x
  3. Step 3: Cross multiply
    3,656.36x = 5,483.16 × 1,315.70
  4. Step 4: Simplify right side
    3,656.36x = 7,214,193.61
  5. Step 5: Solve for x
    x = 7,214,193.61/3,656.36
  6. Step 6: Final answer
    x = 1,973.05

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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.