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Finding the Fourth Proportional to 3,666.32, 5,499.47 and 893.01

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Solution

The fourth proportional to 3,666.32, 5,499.47 and 893.01 is: 1,339.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,666.32 : 5,499.47 = 893.01 : x
  2. Step 2: Convert to fraction form
    3,666.32/5,499.47 = 893.01/x
  3. Step 3: Cross multiply
    3,666.32x = 5,499.47 × 893.01
  4. Step 4: Simplify right side
    3,666.32x = 4,911,077.24
  5. Step 5: Solve for x
    x = 4,911,077.24/3,666.32
  6. Step 6: Final answer
    x = 1,339.51

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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.