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Finding the Fourth Proportional to 3,642.44, 5,459.10 and 1,560

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Solution

The fourth proportional to 3,642.44, 5,459.10 and 1,560 is: 2,338.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.44 : 5,459.10 = 1,560 : x
  2. Step 2: Convert to fraction form
    3,642.44/5,459.10 = 1,560/x
  3. Step 3: Cross multiply
    3,642.44x = 5,459.10 × 1,560
  4. Step 4: Simplify right side
    3,642.44x = 8,516,196
  5. Step 5: Solve for x
    x = 8,516,196/3,642.44
  6. Step 6: Final answer
    x = 2,338.05

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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.