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Finding the Fourth Proportional to 3,673.53, 5,507.88 and 1,564.05

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Solution

The fourth proportional to 3,673.53, 5,507.88 and 1,564.05 is: 2,345.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.53 : 5,507.88 = 1,564.05 : x
  2. Step 2: Convert to fraction form
    3,673.53/5,507.88 = 1,564.05/x
  3. Step 3: Cross multiply
    3,673.53x = 5,507.88 × 1,564.05
  4. Step 4: Simplify right side
    3,673.53x = 8,614,599.71
  5. Step 5: Solve for x
    x = 8,614,599.71/3,673.53
  6. Step 6: Final answer
    x = 2,345.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.